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Finding the Fourth Proportional to 24,647.40, 36,971.10 and 9,071.10

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Solution

The fourth proportional to 24,647.40, 36,971.10 and 9,071.10 is: 13,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.40 : 36,971.10 = 9,071.10 : x
  2. Step 2: Convert to fraction form
    24,647.40/36,971.10 = 9,071.10/x
  3. Step 3: Cross multiply
    24,647.40x = 36,971.10 × 9,071.10
  4. Step 4: Simplify right side
    24,647.40x = 335,368,545.21
  5. Step 5: Solve for x
    x = 335,368,545.21/24,647.40
  6. Step 6: Final answer
    x = 13,606.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.