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Finding the Fourth Proportional to 24,740.16, 37,095.28 and 9,729.29

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Solution

The fourth proportional to 24,740.16, 37,095.28 and 9,729.29 is: 14,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740.16 : 37,095.28 = 9,729.29 : x
  2. Step 2: Convert to fraction form
    24,740.16/37,095.28 = 9,729.29/x
  3. Step 3: Cross multiply
    24,740.16x = 37,095.28 × 9,729.29
  4. Step 4: Simplify right side
    24,740.16x = 360,910,736.75
  5. Step 5: Solve for x
    x = 360,910,736.75/24,740.16
  6. Step 6: Final answer
    x = 14,588.05

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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.