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Finding the Fourth Proportional to 15,709.97, 23,568.71 and 4,616.42

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Solution

The fourth proportional to 15,709.97, 23,568.71 and 4,616.42 is: 6,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.97 : 23,568.71 = 4,616.42 : x
  2. Step 2: Convert to fraction form
    15,709.97/23,568.71 = 4,616.42/x
  3. Step 3: Cross multiply
    15,709.97x = 23,568.71 × 4,616.42
  4. Step 4: Simplify right side
    15,709.97x = 108,802,957.92
  5. Step 5: Solve for x
    x = 108,802,957.92/15,709.97
  6. Step 6: Final answer
    x = 6,925.73

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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.