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Finding the Fourth Proportional to 16,473, 24,709.50 and 6,084.76

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Solution

The fourth proportional to 16,473, 24,709.50 and 6,084.76 is: 9,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473 : 24,709.50 = 6,084.76 : x
  2. Step 2: Convert to fraction form
    16,473/24,709.50 = 6,084.76/x
  3. Step 3: Cross multiply
    16,473x = 24,709.50 × 6,084.76
  4. Step 4: Simplify right side
    16,473x = 150,351,377.22
  5. Step 5: Solve for x
    x = 150,351,377.22/16,473
  6. Step 6: Final answer
    x = 9,127.14

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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.