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Finding the Fourth Proportional to 25,652.28, 38,478.42 and 11,801.40

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Solution

The fourth proportional to 25,652.28, 38,478.42 and 11,801.40 is: 17,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652.28 : 38,478.42 = 11,801.40 : x
  2. Step 2: Convert to fraction form
    25,652.28/38,478.42 = 11,801.40/x
  3. Step 3: Cross multiply
    25,652.28x = 38,478.42 × 11,801.40
  4. Step 4: Simplify right side
    25,652.28x = 454,099,225.79
  5. Step 5: Solve for x
    x = 454,099,225.79/25,652.28
  6. Step 6: Final answer
    x = 17,702.10

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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.