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Finding the Fourth Proportional to 16,372, 22,592.58 and 9,657.88

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Solution

The fourth proportional to 16,372, 22,592.58 and 9,657.88 is: 13,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,372 : 22,592.58 = 9,657.88 : x
  2. Step 2: Convert to fraction form
    16,372/22,592.58 = 9,657.88/x
  3. Step 3: Cross multiply
    16,372x = 22,592.58 × 9,657.88
  4. Step 4: Simplify right side
    16,372x = 218,196,426.53
  5. Step 5: Solve for x
    x = 218,196,426.53/16,372
  6. Step 6: Final answer
    x = 13,327.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.