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Finding the Fourth Proportional to 25,881.42, 38,830.34 and 9,241.08

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Solution

The fourth proportional to 25,881.42, 38,830.34 and 9,241.08 is: 13,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.42 : 38,830.34 = 9,241.08 : x
  2. Step 2: Convert to fraction form
    25,881.42/38,830.34 = 9,241.08/x
  3. Step 3: Cross multiply
    25,881.42x = 38,830.34 × 9,241.08
  4. Step 4: Simplify right side
    25,881.42x = 358,834,232.16
  5. Step 5: Solve for x
    x = 358,834,232.16/25,881.42
  6. Step 6: Final answer
    x = 13,864.55

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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.