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Finding the Fourth Proportional to 16,044, 24,062.80 and 5,656.16

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Solution

The fourth proportional to 16,044, 24,062.80 and 5,656.16 is: 8,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,044 : 24,062.80 = 5,656.16 : x
  2. Step 2: Convert to fraction form
    16,044/24,062.80 = 5,656.16/x
  3. Step 3: Cross multiply
    16,044x = 24,062.80 × 5,656.16
  4. Step 4: Simplify right side
    16,044x = 136,103,046.85
  5. Step 5: Solve for x
    x = 136,103,046.85/16,044
  6. Step 6: Final answer
    x = 8,483.11

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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.