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Finding the Fourth Proportional to 17,281, 25,943.28 and 14,700.34

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Solution

The fourth proportional to 17,281, 25,943.28 and 14,700.34 is: 22,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281 : 25,943.28 = 14,700.34 : x
  2. Step 2: Convert to fraction form
    17,281/25,943.28 = 14,700.34/x
  3. Step 3: Cross multiply
    17,281x = 25,943.28 × 14,700.34
  4. Step 4: Simplify right side
    17,281x = 381,375,036.72
  5. Step 5: Solve for x
    x = 381,375,036.72/17,281
  6. Step 6: Final answer
    x = 22,069.04

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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.