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Finding the Fourth Proportional to 25,403.79, 38,084.92 and 9,599.85

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Solution

The fourth proportional to 25,403.79, 38,084.92 and 9,599.85 is: 14,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,403.79 : 38,084.92 = 9,599.85 : x
  2. Step 2: Convert to fraction form
    25,403.79/38,084.92 = 9,599.85/x
  3. Step 3: Cross multiply
    25,403.79x = 38,084.92 × 9,599.85
  4. Step 4: Simplify right side
    25,403.79x = 365,609,495.26
  5. Step 5: Solve for x
    x = 365,609,495.26/25,403.79
  6. Step 6: Final answer
    x = 14,391.93

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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.