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Finding the Fourth Proportional to 16,042, 24,059.80 and 5,654.16

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Solution

The fourth proportional to 16,042, 24,059.80 and 5,654.16 is: 8,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042 : 24,059.80 = 5,654.16 : x
  2. Step 2: Convert to fraction form
    16,042/24,059.80 = 5,654.16/x
  3. Step 3: Cross multiply
    16,042x = 24,059.80 × 5,654.16
  4. Step 4: Simplify right side
    16,042x = 136,037,958.77
  5. Step 5: Solve for x
    x = 136,037,958.77/16,042
  6. Step 6: Final answer
    x = 8,480.11

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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.