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Finding the Fourth Proportional to 23,617.88, 32,592.68 and 13,007.49

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Solution

The fourth proportional to 23,617.88, 32,592.68 and 13,007.49 is: 17,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617.88 : 32,592.68 = 13,007.49 : x
  2. Step 2: Convert to fraction form
    23,617.88/32,592.68 = 13,007.49/x
  3. Step 3: Cross multiply
    23,617.88x = 32,592.68 × 13,007.49
  4. Step 4: Simplify right side
    23,617.88x = 423,948,894.14
  5. Step 5: Solve for x
    x = 423,948,894.14/23,617.88
  6. Step 6: Final answer
    x = 17,950.34

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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.