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Finding the Fourth Proportional to 17,871.78, 24,634.38 and 14,088.66

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Solution

The fourth proportional to 17,871.78, 24,634.38 and 14,088.66 is: 19,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.78 : 24,634.38 = 14,088.66 : x
  2. Step 2: Convert to fraction form
    17,871.78/24,634.38 = 14,088.66/x
  3. Step 3: Cross multiply
    17,871.78x = 24,634.38 × 14,088.66
  4. Step 4: Simplify right side
    17,871.78x = 347,065,404.13
  5. Step 5: Solve for x
    x = 347,065,404.13/17,871.78
  6. Step 6: Final answer
    x = 19,419.74

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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.