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Finding the Fourth Proportional to 25,425.60, 38,138.04 and 9,832.20

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Solution

The fourth proportional to 25,425.60, 38,138.04 and 9,832.20 is: 14,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425.60 : 38,138.04 = 9,832.20 : x
  2. Step 2: Convert to fraction form
    25,425.60/38,138.04 = 9,832.20/x
  3. Step 3: Cross multiply
    25,425.60x = 38,138.04 × 9,832.20
  4. Step 4: Simplify right side
    25,425.60x = 374,980,836.89
  5. Step 5: Solve for x
    x = 374,980,836.89/25,425.60
  6. Step 6: Final answer
    x = 14,748.16

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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.