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Finding the Fourth Proportional to 10,706.31, 16,046.91 and 9,476.19

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Solution

The fourth proportional to 10,706.31, 16,046.91 and 9,476.19 is: 14,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.31 : 16,046.91 = 9,476.19 : x
  2. Step 2: Convert to fraction form
    10,706.31/16,046.91 = 9,476.19/x
  3. Step 3: Cross multiply
    10,706.31x = 16,046.91 × 9,476.19
  4. Step 4: Simplify right side
    10,706.31x = 152,063,568.07
  5. Step 5: Solve for x
    x = 152,063,568.07/10,706.31
  6. Step 6: Final answer
    x = 14,203.17

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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.