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Finding the Fourth Proportional to 16,594.31, 24,893.76 and 6,062.96

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Solution

The fourth proportional to 16,594.31, 24,893.76 and 6,062.96 is: 9,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.31 : 24,893.76 = 6,062.96 : x
  2. Step 2: Convert to fraction form
    16,594.31/24,893.76 = 6,062.96/x
  3. Step 3: Cross multiply
    16,594.31x = 24,893.76 × 6,062.96
  4. Step 4: Simplify right side
    16,594.31x = 150,929,871.13
  5. Step 5: Solve for x
    x = 150,929,871.13/16,594.31
  6. Step 6: Final answer
    x = 9,095.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.