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Finding the Fourth Proportional to 14,385.60, 21,572.64 and 5,146.56

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Solution

The fourth proportional to 14,385.60, 21,572.64 and 5,146.56 is: 7,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.60 : 21,572.64 = 5,146.56 : x
  2. Step 2: Convert to fraction form
    14,385.60/21,572.64 = 5,146.56/x
  3. Step 3: Cross multiply
    14,385.60x = 21,572.64 × 5,146.56
  4. Step 4: Simplify right side
    14,385.60x = 111,024,886.12
  5. Step 5: Solve for x
    x = 111,024,886.12/14,385.60
  6. Step 6: Final answer
    x = 7,717.78

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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.