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Finding the Fourth Proportional to 17,658.88, 24,371.24 and 9,701.84

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Solution

The fourth proportional to 17,658.88, 24,371.24 and 9,701.84 is: 13,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.88 : 24,371.24 = 9,701.84 : x
  2. Step 2: Convert to fraction form
    17,658.88/24,371.24 = 9,701.84/x
  3. Step 3: Cross multiply
    17,658.88x = 24,371.24 × 9,701.84
  4. Step 4: Simplify right side
    17,658.88x = 236,445,871.08
  5. Step 5: Solve for x
    x = 236,445,871.08/17,658.88
  6. Step 6: Final answer
    x = 13,389.63

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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.