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Finding the Fourth Proportional to 16,221.31, 22,384.92 and 9,051.42

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Solution

The fourth proportional to 16,221.31, 22,384.92 and 9,051.42 is: 12,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.31 : 22,384.92 = 9,051.42 : x
  2. Step 2: Convert to fraction form
    16,221.31/22,384.92 = 9,051.42/x
  3. Step 3: Cross multiply
    16,221.31x = 22,384.92 × 9,051.42
  4. Step 4: Simplify right side
    16,221.31x = 202,615,312.59
  5. Step 5: Solve for x
    x = 202,615,312.59/16,221.31
  6. Step 6: Final answer
    x = 12,490.69

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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.