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Finding the Fourth Proportional to 14,552.32, 21,829.02 and 4,691.74

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Solution

The fourth proportional to 14,552.32, 21,829.02 and 4,691.74 is: 7,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.32 : 21,829.02 = 4,691.74 : x
  2. Step 2: Convert to fraction form
    14,552.32/21,829.02 = 4,691.74/x
  3. Step 3: Cross multiply
    14,552.32x = 21,829.02 × 4,691.74
  4. Step 4: Simplify right side
    14,552.32x = 102,416,086.29
  5. Step 5: Solve for x
    x = 102,416,086.29/14,552.32
  6. Step 6: Final answer
    x = 7,037.78

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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.