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Finding the Fourth Proportional to 16,464, 24,701.54 and 5,221.16

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Solution

The fourth proportional to 16,464, 24,701.54 and 5,221.16 is: 7,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464 : 24,701.54 = 5,221.16 : x
  2. Step 2: Convert to fraction form
    16,464/24,701.54 = 5,221.16/x
  3. Step 3: Cross multiply
    16,464x = 24,701.54 × 5,221.16
  4. Step 4: Simplify right side
    16,464x = 128,970,692.59
  5. Step 5: Solve for x
    x = 128,970,692.59/16,464
  6. Step 6: Final answer
    x = 7,833.50

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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.