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Finding the Fourth Proportional to 16,044.16, 24,066.96 and 5,656

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Solution

The fourth proportional to 16,044.16, 24,066.96 and 5,656 is: 8,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,044.16 : 24,066.96 = 5,656 : x
  2. Step 2: Convert to fraction form
    16,044.16/24,066.96 = 5,656/x
  3. Step 3: Cross multiply
    16,044.16x = 24,066.96 × 5,656
  4. Step 4: Simplify right side
    16,044.16x = 136,122,725.76
  5. Step 5: Solve for x
    x = 136,122,725.76/16,044.16
  6. Step 6: Final answer
    x = 8,484.25

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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.