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Finding the Fourth Proportional to 10,740.90, 16,104.78 and 9,824.16

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Solution

The fourth proportional to 10,740.90, 16,104.78 and 9,824.16 is: 14,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.90 : 16,104.78 = 9,824.16 : x
  2. Step 2: Convert to fraction form
    10,740.90/16,104.78 = 9,824.16/x
  3. Step 3: Cross multiply
    10,740.90x = 16,104.78 × 9,824.16
  4. Step 4: Simplify right side
    10,740.90x = 158,215,935.48
  5. Step 5: Solve for x
    x = 158,215,935.48/10,740.90
  6. Step 6: Final answer
    x = 14,730.23

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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.