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Finding the Fourth Proportional to 15,872.64, 23,812.48 and 8,473.20

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Solution

The fourth proportional to 15,872.64, 23,812.48 and 8,473.20 is: 12,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.64 : 23,812.48 = 8,473.20 : x
  2. Step 2: Convert to fraction form
    15,872.64/23,812.48 = 8,473.20/x
  3. Step 3: Cross multiply
    15,872.64x = 23,812.48 × 8,473.20
  4. Step 4: Simplify right side
    15,872.64x = 201,767,905.54
  5. Step 5: Solve for x
    x = 201,767,905.54/15,872.64
  6. Step 6: Final answer
    x = 12,711.68

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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.