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Finding the Fourth Proportional to 14,456, 21,674.04 and 5,691.92

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Solution

The fourth proportional to 14,456, 21,674.04 and 5,691.92 is: 8,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456 : 21,674.04 = 5,691.92 : x
  2. Step 2: Convert to fraction form
    14,456/21,674.04 = 5,691.92/x
  3. Step 3: Cross multiply
    14,456x = 21,674.04 × 5,691.92
  4. Step 4: Simplify right side
    14,456x = 123,366,901.76
  5. Step 5: Solve for x
    x = 123,366,901.76/14,456
  6. Step 6: Final answer
    x = 8,533.96

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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.