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Finding the Fourth Proportional to 20,732.40, 31,088.16 and 9,040.32

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Solution

The fourth proportional to 20,732.40, 31,088.16 and 9,040.32 is: 13,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.40 : 31,088.16 = 9,040.32 : x
  2. Step 2: Convert to fraction form
    20,732.40/31,088.16 = 9,040.32/x
  3. Step 3: Cross multiply
    20,732.40x = 31,088.16 × 9,040.32
  4. Step 4: Simplify right side
    20,732.40x = 281,046,914.61
  5. Step 5: Solve for x
    x = 281,046,914.61/20,732.40
  6. Step 6: Final answer
    x = 13,555.93

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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.