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Finding the Fourth Proportional to 17,607.68, 24,304 and 10,160.64

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Solution

The fourth proportional to 17,607.68, 24,304 and 10,160.64 is: 14,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,607.68 : 24,304 = 10,160.64 : x
  2. Step 2: Convert to fraction form
    17,607.68/24,304 = 10,160.64/x
  3. Step 3: Cross multiply
    17,607.68x = 24,304 × 10,160.64
  4. Step 4: Simplify right side
    17,607.68x = 246,944,194.56
  5. Step 5: Solve for x
    x = 246,944,194.56/17,607.68
  6. Step 6: Final answer
    x = 14,024.80

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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.