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Finding the Fourth Proportional to 25,446.96, 38,194.74 and 15,605.46

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Solution

The fourth proportional to 25,446.96, 38,194.74 and 15,605.46 is: 23,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,446.96 : 38,194.74 = 15,605.46 : x
  2. Step 2: Convert to fraction form
    25,446.96/38,194.74 = 15,605.46/x
  3. Step 3: Cross multiply
    25,446.96x = 38,194.74 × 15,605.46
  4. Step 4: Simplify right side
    25,446.96x = 596,046,487.28
  5. Step 5: Solve for x
    x = 596,046,487.28/25,446.96
  6. Step 6: Final answer
    x = 23,423.09

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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.