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Finding the Fourth Proportional to 15,472, 21,354.06 and 9,184.24

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Solution

The fourth proportional to 15,472, 21,354.06 and 9,184.24 is: 12,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472 : 21,354.06 = 9,184.24 : x
  2. Step 2: Convert to fraction form
    15,472/21,354.06 = 9,184.24/x
  3. Step 3: Cross multiply
    15,472x = 21,354.06 × 9,184.24
  4. Step 4: Simplify right side
    15,472x = 196,120,812.01
  5. Step 5: Solve for x
    x = 196,120,812.01/15,472
  6. Step 6: Final answer
    x = 12,675.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.