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Finding the Fourth Proportional to 17,658.78, 24,369.27 and 9,701.16

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Solution

The fourth proportional to 17,658.78, 24,369.27 and 9,701.16 is: 13,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.78 : 24,369.27 = 9,701.16 : x
  2. Step 2: Convert to fraction form
    17,658.78/24,369.27 = 9,701.16/x
  3. Step 3: Cross multiply
    17,658.78x = 24,369.27 × 9,701.16
  4. Step 4: Simplify right side
    17,658.78x = 236,410,187.35
  5. Step 5: Solve for x
    x = 236,410,187.35/17,658.78
  6. Step 6: Final answer
    x = 13,387.69

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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.