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Finding the Fourth Proportional to 17,658.72, 24,369.24 and 9,700.80

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Solution

The fourth proportional to 17,658.72, 24,369.24 and 9,700.80 is: 13,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.72 : 24,369.24 = 9,700.80 : x
  2. Step 2: Convert to fraction form
    17,658.72/24,369.24 = 9,700.80/x
  3. Step 3: Cross multiply
    17,658.72x = 24,369.24 × 9,700.80
  4. Step 4: Simplify right side
    17,658.72x = 236,401,123.39
  5. Step 5: Solve for x
    x = 236,401,123.39/17,658.72
  6. Step 6: Final answer
    x = 13,387.22

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