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Finding the Fourth Proportional to 27,407.82, 41,124.29 and 14,909.12

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Solution

The fourth proportional to 27,407.82, 41,124.29 and 14,909.12 is: 22,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.82 : 41,124.29 = 14,909.12 : x
  2. Step 2: Convert to fraction form
    27,407.82/41,124.29 = 14,909.12/x
  3. Step 3: Cross multiply
    27,407.82x = 41,124.29 × 14,909.12
  4. Step 4: Simplify right side
    27,407.82x = 613,126,694.36
  5. Step 5: Solve for x
    x = 613,126,694.36/27,407.82
  6. Step 6: Final answer
    x = 22,370.50

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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.