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Finding the Fourth Proportional to 22,321.64, 30,824.61 and 14,377.52

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Solution

The fourth proportional to 22,321.64, 30,824.61 and 14,377.52 is: 19,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321.64 : 30,824.61 = 14,377.52 : x
  2. Step 2: Convert to fraction form
    22,321.64/30,824.61 = 14,377.52/x
  3. Step 3: Cross multiply
    22,321.64x = 30,824.61 × 14,377.52
  4. Step 4: Simplify right side
    22,321.64x = 443,181,446.77
  5. Step 5: Solve for x
    x = 443,181,446.77/22,321.64
  6. Step 6: Final answer
    x = 19,854.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.