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Finding the Fourth Proportional to 17,671, 24,386.62 and 10,118.68

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Solution

The fourth proportional to 17,671, 24,386.62 and 10,118.68 is: 13,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671 : 24,386.62 = 10,118.68 : x
  2. Step 2: Convert to fraction form
    17,671/24,386.62 = 10,118.68/x
  3. Step 3: Cross multiply
    17,671x = 24,386.62 × 10,118.68
  4. Step 4: Simplify right side
    17,671x = 246,760,404.06
  5. Step 5: Solve for x
    x = 246,760,404.06/17,671
  6. Step 6: Final answer
    x = 13,964.14

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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.