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Finding the Fourth Proportional to 21,656.43, 32,473.10 and 9,959.63

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Solution

The fourth proportional to 21,656.43, 32,473.10 and 9,959.63 is: 14,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.43 : 32,473.10 = 9,959.63 : x
  2. Step 2: Convert to fraction form
    21,656.43/32,473.10 = 9,959.63/x
  3. Step 3: Cross multiply
    21,656.43x = 32,473.10 × 9,959.63
  4. Step 4: Simplify right side
    21,656.43x = 323,419,923.49
  5. Step 5: Solve for x
    x = 323,419,923.49/21,656.43
  6. Step 6: Final answer
    x = 14,934.13

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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.