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Finding the Fourth Proportional to 10,007.60, 15,029.16 and 9,497.12

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Solution

The fourth proportional to 10,007.60, 15,029.16 and 9,497.12 is: 14,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.60 : 15,029.16 = 9,497.12 : x
  2. Step 2: Convert to fraction form
    10,007.60/15,029.16 = 9,497.12/x
  3. Step 3: Cross multiply
    10,007.60x = 15,029.16 × 9,497.12
  4. Step 4: Simplify right side
    10,007.60x = 142,733,736.02
  5. Step 5: Solve for x
    x = 142,733,736.02/10,007.60
  6. Step 6: Final answer
    x = 14,262.53

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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.