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Finding the Fourth Proportional to 16,123.56, 22,252.14 and 9,839.64

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Solution

The fourth proportional to 16,123.56, 22,252.14 and 9,839.64 is: 13,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.56 : 22,252.14 = 9,839.64 : x
  2. Step 2: Convert to fraction form
    16,123.56/22,252.14 = 9,839.64/x
  3. Step 3: Cross multiply
    16,123.56x = 22,252.14 × 9,839.64
  4. Step 4: Simplify right side
    16,123.56x = 218,953,046.83
  5. Step 5: Solve for x
    x = 218,953,046.83/16,123.56
  6. Step 6: Final answer
    x = 13,579.70

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1.5x scale

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.