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Finding the Fourth Proportional to 12,505.78, 17,257.42 and 7,199.47

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Solution

The fourth proportional to 12,505.78, 17,257.42 and 7,199.47 is: 9,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.78 : 17,257.42 = 7,199.47 : x
  2. Step 2: Convert to fraction form
    12,505.78/17,257.42 = 7,199.47/x
  3. Step 3: Cross multiply
    12,505.78x = 17,257.42 × 7,199.47
  4. Step 4: Simplify right side
    12,505.78x = 124,244,277.57
  5. Step 5: Solve for x
    x = 124,244,277.57/12,505.78
  6. Step 6: Final answer
    x = 9,934.95

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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.