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Finding the Fourth Proportional to 16,564, 24,840.70 and 5,468.20

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Solution

The fourth proportional to 16,564, 24,840.70 and 5,468.20 is: 8,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564 : 24,840.70 = 5,468.20 : x
  2. Step 2: Convert to fraction form
    16,564/24,840.70 = 5,468.20/x
  3. Step 3: Cross multiply
    16,564x = 24,840.70 × 5,468.20
  4. Step 4: Simplify right side
    16,564x = 135,833,915.74
  5. Step 5: Solve for x
    x = 135,833,915.74/16,564
  6. Step 6: Final answer
    x = 8,200.55

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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.