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Finding the Fourth Proportional to 16,062.80, 22,534 and 16,062.80

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Solution

The fourth proportional to 16,062.80, 22,534 and 16,062.80 is: 22,534

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062.80 : 22,534 = 16,062.80 : x
  2. Step 2: Convert to fraction form
    16,062.80/22,534 = 16,062.80/x
  3. Step 3: Cross multiply
    16,062.80x = 22,534 × 16,062.80
  4. Step 4: Simplify right side
    16,062.80x = 361,959,135.20
  5. Step 5: Solve for x
    x = 361,959,135.20/16,062.80
  6. Step 6: Final answer
    x = 22,534

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.