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Finding the Fourth Proportional to 24,647.76, 36,971.10 and 10,617.12

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Solution

The fourth proportional to 24,647.76, 36,971.10 and 10,617.12 is: 15,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.76 : 36,971.10 = 10,617.12 : x
  2. Step 2: Convert to fraction form
    24,647.76/36,971.10 = 10,617.12/x
  3. Step 3: Cross multiply
    24,647.76x = 36,971.10 × 10,617.12
  4. Step 4: Simplify right side
    24,647.76x = 392,526,605.23
  5. Step 5: Solve for x
    x = 392,526,605.23/24,647.76
  6. Step 6: Final answer
    x = 15,925.45

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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.