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Finding the Fourth Proportional to 24,648.56, 36,971.64 and 9,065.20

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Solution

The fourth proportional to 24,648.56, 36,971.64 and 9,065.20 is: 13,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648.56 : 36,971.64 = 9,065.20 : x
  2. Step 2: Convert to fraction form
    24,648.56/36,971.64 = 9,065.20/x
  3. Step 3: Cross multiply
    24,648.56x = 36,971.64 × 9,065.20
  4. Step 4: Simplify right side
    24,648.56x = 335,155,310.93
  5. Step 5: Solve for x
    x = 335,155,310.93/24,648.56
  6. Step 6: Final answer
    x = 13,597.36

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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.