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Finding the Fourth Proportional to 25,881.30, 38,830.14 and 9,240.96

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Solution

The fourth proportional to 25,881.30, 38,830.14 and 9,240.96 is: 13,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.30 : 38,830.14 = 9,240.96 : x
  2. Step 2: Convert to fraction form
    25,881.30/38,830.14 = 9,240.96/x
  3. Step 3: Cross multiply
    25,881.30x = 38,830.14 × 9,240.96
  4. Step 4: Simplify right side
    25,881.30x = 358,827,770.53
  5. Step 5: Solve for x
    x = 358,827,770.53/25,881.30
  6. Step 6: Final answer
    x = 13,864.36

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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.