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Finding the Fourth Proportional to 15,873.61, 23,812.71 and 8,474.02

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Solution

The fourth proportional to 15,873.61, 23,812.71 and 8,474.02 is: 12,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.61 : 23,812.71 = 8,474.02 : x
  2. Step 2: Convert to fraction form
    15,873.61/23,812.71 = 8,474.02/x
  3. Step 3: Cross multiply
    15,873.61x = 23,812.71 × 8,474.02
  4. Step 4: Simplify right side
    15,873.61x = 201,789,380.79
  5. Step 5: Solve for x
    x = 201,789,380.79/15,873.61
  6. Step 6: Final answer
    x = 12,712.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.