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Finding the Fourth Proportional to 17,129.48, 23,639.46 and 13,397

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Solution

The fourth proportional to 17,129.48, 23,639.46 and 13,397 is: 18,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.48 : 23,639.46 = 13,397 : x
  2. Step 2: Convert to fraction form
    17,129.48/23,639.46 = 13,397/x
  3. Step 3: Cross multiply
    17,129.48x = 23,639.46 × 13,397
  4. Step 4: Simplify right side
    17,129.48x = 316,697,845.62
  5. Step 5: Solve for x
    x = 316,697,845.62/17,129.48
  6. Step 6: Final answer
    x = 18,488.47

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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.