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Finding the Fourth Proportional to 27,406.80, 37,812.15 and 17,842.32

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Solution

The fourth proportional to 27,406.80, 37,812.15 and 17,842.32 is: 24,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.80 : 37,812.15 = 17,842.32 : x
  2. Step 2: Convert to fraction form
    27,406.80/37,812.15 = 17,842.32/x
  3. Step 3: Cross multiply
    27,406.80x = 37,812.15 × 17,842.32
  4. Step 4: Simplify right side
    27,406.80x = 674,656,480.19
  5. Step 5: Solve for x
    x = 674,656,480.19/27,406.80
  6. Step 6: Final answer
    x = 24,616.39

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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.