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Finding the Fourth Proportional to 17,599.86, 24,288.48 and 9,642.78

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Solution

The fourth proportional to 17,599.86, 24,288.48 and 9,642.78 is: 13,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,599.86 : 24,288.48 = 9,642.78 : x
  2. Step 2: Convert to fraction form
    17,599.86/24,288.48 = 9,642.78/x
  3. Step 3: Cross multiply
    17,599.86x = 24,288.48 × 9,642.78
  4. Step 4: Simplify right side
    17,599.86x = 234,208,469.17
  5. Step 5: Solve for x
    x = 234,208,469.17/17,599.86
  6. Step 6: Final answer
    x = 13,307.41

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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.