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Finding the Fourth Proportional to 14,761.69, 22,151.64 and 8,534

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Solution

The fourth proportional to 14,761.69, 22,151.64 and 8,534 is: 12,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.69 : 22,151.64 = 8,534 : x
  2. Step 2: Convert to fraction form
    14,761.69/22,151.64 = 8,534/x
  3. Step 3: Cross multiply
    14,761.69x = 22,151.64 × 8,534
  4. Step 4: Simplify right side
    14,761.69x = 189,042,095.76
  5. Step 5: Solve for x
    x = 189,042,095.76/14,761.69
  6. Step 6: Final answer
    x = 12,806.26

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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.