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Finding the Fourth Proportional to 15,712.65, 23,568.30 and 5,324.40

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Solution

The fourth proportional to 15,712.65, 23,568.30 and 5,324.40 is: 7,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.65 : 23,568.30 = 5,324.40 : x
  2. Step 2: Convert to fraction form
    15,712.65/23,568.30 = 5,324.40/x
  3. Step 3: Cross multiply
    15,712.65x = 23,568.30 × 5,324.40
  4. Step 4: Simplify right side
    15,712.65x = 125,487,056.52
  5. Step 5: Solve for x
    x = 125,487,056.52/15,712.65
  6. Step 6: Final answer
    x = 7,986.37

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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.