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Finding the Fourth Proportional to 14,665.60, 22,014.60 and 9,125.20

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Solution

The fourth proportional to 14,665.60, 22,014.60 and 9,125.20 is: 13,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.60 : 22,014.60 = 9,125.20 : x
  2. Step 2: Convert to fraction form
    14,665.60/22,014.60 = 9,125.20/x
  3. Step 3: Cross multiply
    14,665.60x = 22,014.60 × 9,125.20
  4. Step 4: Simplify right side
    14,665.60x = 200,887,627.92
  5. Step 5: Solve for x
    x = 200,887,627.92/14,665.60
  6. Step 6: Final answer
    x = 13,697.88

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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.