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Finding the Fourth Proportional to 25,352.32, 38,012.28 and 12,178.48

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Solution

The fourth proportional to 25,352.32, 38,012.28 and 12,178.48 is: 18,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,352.32 : 38,012.28 = 12,178.48 : x
  2. Step 2: Convert to fraction form
    25,352.32/38,012.28 = 12,178.48/x
  3. Step 3: Cross multiply
    25,352.32x = 38,012.28 × 12,178.48
  4. Step 4: Simplify right side
    25,352.32x = 462,931,791.73
  5. Step 5: Solve for x
    x = 462,931,791.73/25,352.32
  6. Step 6: Final answer
    x = 18,259.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.