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Finding the Fourth Proportional to 17,687, 24,408.06 and 10,235

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Solution

The fourth proportional to 17,687, 24,408.06 and 10,235 is: 14,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687 : 24,408.06 = 10,235 : x
  2. Step 2: Convert to fraction form
    17,687/24,408.06 = 10,235/x
  3. Step 3: Cross multiply
    17,687x = 24,408.06 × 10,235
  4. Step 4: Simplify right side
    17,687x = 249,816,494.10
  5. Step 5: Solve for x
    x = 249,816,494.10/17,687
  6. Step 6: Final answer
    x = 14,124.30

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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.