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Finding the Fourth Proportional to 14,791, 22,189.74 and 5,557

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Solution

The fourth proportional to 14,791, 22,189.74 and 5,557 is: 8,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791 : 22,189.74 = 5,557 : x
  2. Step 2: Convert to fraction form
    14,791/22,189.74 = 5,557/x
  3. Step 3: Cross multiply
    14,791x = 22,189.74 × 5,557
  4. Step 4: Simplify right side
    14,791x = 123,308,385.18
  5. Step 5: Solve for x
    x = 123,308,385.18/14,791
  6. Step 6: Final answer
    x = 8,336.72

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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.