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Finding the Fourth Proportional to 25,412.40, 38,129.54 and 12,274.62

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Solution

The fourth proportional to 25,412.40, 38,129.54 and 12,274.62 is: 18,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.40 : 38,129.54 = 12,274.62 : x
  2. Step 2: Convert to fraction form
    25,412.40/38,129.54 = 12,274.62/x
  3. Step 3: Cross multiply
    25,412.40x = 38,129.54 × 12,274.62
  4. Step 4: Simplify right side
    25,412.40x = 468,025,552.90
  5. Step 5: Solve for x
    x = 468,025,552.90/25,412.40
  6. Step 6: Final answer
    x = 18,417.21

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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.