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Finding the Fourth Proportional to 24,065.96, 36,085.08 and 9,272.97

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Solution

The fourth proportional to 24,065.96, 36,085.08 and 9,272.97 is: 13,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.96 : 36,085.08 = 9,272.97 : x
  2. Step 2: Convert to fraction form
    24,065.96/36,085.08 = 9,272.97/x
  3. Step 3: Cross multiply
    24,065.96x = 36,085.08 × 9,272.97
  4. Step 4: Simplify right side
    24,065.96x = 334,615,864.29
  5. Step 5: Solve for x
    x = 334,615,864.29/24,065.96
  6. Step 6: Final answer
    x = 13,904.12

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