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Finding the Fourth Proportional to 25,462.38, 38,203.28 and 9,881.22

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Solution

The fourth proportional to 25,462.38, 38,203.28 and 9,881.22 is: 14,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462.38 : 38,203.28 = 9,881.22 : x
  2. Step 2: Convert to fraction form
    25,462.38/38,203.28 = 9,881.22/x
  3. Step 3: Cross multiply
    25,462.38x = 38,203.28 × 9,881.22
  4. Step 4: Simplify right side
    25,462.38x = 377,495,014.40
  5. Step 5: Solve for x
    x = 377,495,014.40/25,462.38
  6. Step 6: Final answer
    x = 14,825.60

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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.