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Finding the Fourth Proportional to 17,706.72, 24,434.28 and 9,748.74

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Solution

The fourth proportional to 17,706.72, 24,434.28 and 9,748.74 is: 13,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.72 : 24,434.28 = 9,748.74 : x
  2. Step 2: Convert to fraction form
    17,706.72/24,434.28 = 9,748.74/x
  3. Step 3: Cross multiply
    17,706.72x = 24,434.28 × 9,748.74
  4. Step 4: Simplify right side
    17,706.72x = 238,203,442.81
  5. Step 5: Solve for x
    x = 238,203,442.81/17,706.72
  6. Step 6: Final answer
    x = 13,452.71

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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.