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Finding the Fourth Proportional to 25,718.40, 38,569.28 and 8,184.12

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Solution

The fourth proportional to 25,718.40, 38,569.28 and 8,184.12 is: 12,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,718.40 : 38,569.28 = 8,184.12 : x
  2. Step 2: Convert to fraction form
    25,718.40/38,569.28 = 8,184.12/x
  3. Step 3: Cross multiply
    25,718.40x = 38,569.28 × 8,184.12
  4. Step 4: Simplify right side
    25,718.40x = 315,655,615.83
  5. Step 5: Solve for x
    x = 315,655,615.83/25,718.40
  6. Step 6: Final answer
    x = 12,273.53

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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.