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Finding the Fourth Proportional to 25,427.60, 38,141.04 and 9,834.20

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Solution

The fourth proportional to 25,427.60, 38,141.04 and 9,834.20 is: 14,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,427.60 : 38,141.04 = 9,834.20 : x
  2. Step 2: Convert to fraction form
    25,427.60/38,141.04 = 9,834.20/x
  3. Step 3: Cross multiply
    25,427.60x = 38,141.04 × 9,834.20
  4. Step 4: Simplify right side
    25,427.60x = 375,086,615.57
  5. Step 5: Solve for x
    x = 375,086,615.57/25,427.60
  6. Step 6: Final answer
    x = 14,751.16

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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.