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Finding the Fourth Proportional to 10,013.60, 14,991.60 and 9,725.60

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Solution

The fourth proportional to 10,013.60, 14,991.60 and 9,725.60 is: 14,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.60 : 14,991.60 = 9,725.60 : x
  2. Step 2: Convert to fraction form
    10,013.60/14,991.60 = 9,725.60/x
  3. Step 3: Cross multiply
    10,013.60x = 14,991.60 × 9,725.60
  4. Step 4: Simplify right side
    10,013.60x = 145,802,304.96
  5. Step 5: Solve for x
    x = 145,802,304.96/10,013.60
  6. Step 6: Final answer
    x = 14,560.43

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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.