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Finding the Fourth Proportional to 25,881.52, 38,823.15 and 6,905.97

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Solution

The fourth proportional to 25,881.52, 38,823.15 and 6,905.97 is: 10,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.52 : 38,823.15 = 6,905.97 : x
  2. Step 2: Convert to fraction form
    25,881.52/38,823.15 = 6,905.97/x
  3. Step 3: Cross multiply
    25,881.52x = 38,823.15 × 6,905.97
  4. Step 4: Simplify right side
    25,881.52x = 268,111,327.03
  5. Step 5: Solve for x
    x = 268,111,327.03/25,881.52
  6. Step 6: Final answer
    x = 10,359.18

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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.