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Finding the Fourth Proportional to 15,472.94, 23,209.54 and 5,612

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Solution

The fourth proportional to 15,472.94, 23,209.54 and 5,612 is: 8,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472.94 : 23,209.54 = 5,612 : x
  2. Step 2: Convert to fraction form
    15,472.94/23,209.54 = 5,612/x
  3. Step 3: Cross multiply
    15,472.94x = 23,209.54 × 5,612
  4. Step 4: Simplify right side
    15,472.94x = 130,251,938.48
  5. Step 5: Solve for x
    x = 130,251,938.48/15,472.94
  6. Step 6: Final answer
    x = 8,418.05

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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.