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Finding the Fourth Proportional to 25,385.79, 38,078.42 and 9,792.48

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Solution

The fourth proportional to 25,385.79, 38,078.42 and 9,792.48 is: 14,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,385.79 : 38,078.42 = 9,792.48 : x
  2. Step 2: Convert to fraction form
    25,385.79/38,078.42 = 9,792.48/x
  3. Step 3: Cross multiply
    25,385.79x = 38,078.42 × 9,792.48
  4. Step 4: Simplify right side
    25,385.79x = 372,882,117.32
  5. Step 5: Solve for x
    x = 372,882,117.32/25,385.79
  6. Step 6: Final answer
    x = 14,688.62

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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.