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Finding the Fourth Proportional to 17,471.85, 24,109.95 and 9,918.33

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Solution

The fourth proportional to 17,471.85, 24,109.95 and 9,918.33 is: 13,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.85 : 24,109.95 = 9,918.33 : x
  2. Step 2: Convert to fraction form
    17,471.85/24,109.95 = 9,918.33/x
  3. Step 3: Cross multiply
    17,471.85x = 24,109.95 × 9,918.33
  4. Step 4: Simplify right side
    17,471.85x = 239,130,440.38
  5. Step 5: Solve for x
    x = 239,130,440.38/17,471.85
  6. Step 6: Final answer
    x = 13,686.61

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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.