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Finding the Fourth Proportional to 13,952.52, 19,254.15 and 7,578.96

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Solution

The fourth proportional to 13,952.52, 19,254.15 and 7,578.96 is: 10,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.52 : 19,254.15 = 7,578.96 : x
  2. Step 2: Convert to fraction form
    13,952.52/19,254.15 = 7,578.96/x
  3. Step 3: Cross multiply
    13,952.52x = 19,254.15 × 7,578.96
  4. Step 4: Simplify right side
    13,952.52x = 145,926,499.54
  5. Step 5: Solve for x
    x = 145,926,499.54/13,952.52
  6. Step 6: Final answer
    x = 10,458.80

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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.