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Finding the Fourth Proportional to 14,409.52, 19,884.76 and 8,121.76

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Solution

The fourth proportional to 14,409.52, 19,884.76 and 8,121.76 is: 11,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.52 : 19,884.76 = 8,121.76 : x
  2. Step 2: Convert to fraction form
    14,409.52/19,884.76 = 8,121.76/x
  3. Step 3: Cross multiply
    14,409.52x = 19,884.76 × 8,121.76
  4. Step 4: Simplify right side
    14,409.52x = 161,499,248.38
  5. Step 5: Solve for x
    x = 161,499,248.38/14,409.52
  6. Step 6: Final answer
    x = 11,207.82

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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.