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Finding the Fourth Proportional to 16,489.76, 24,725.39 and 7,123.93

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Solution

The fourth proportional to 16,489.76, 24,725.39 and 7,123.93 is: 10,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.76 : 24,725.39 = 7,123.93 : x
  2. Step 2: Convert to fraction form
    16,489.76/24,725.39 = 7,123.93/x
  3. Step 3: Cross multiply
    16,489.76x = 24,725.39 × 7,123.93
  4. Step 4: Simplify right side
    16,489.76x = 176,141,947.58
  5. Step 5: Solve for x
    x = 176,141,947.58/16,489.76
  6. Step 6: Final answer
    x = 10,681.90

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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.