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Finding the Fourth Proportional to 17,720.04, 24,454.14 and 10,167

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Solution

The fourth proportional to 17,720.04, 24,454.14 and 10,167 is: 14,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.04 : 24,454.14 = 10,167 : x
  2. Step 2: Convert to fraction form
    17,720.04/24,454.14 = 10,167/x
  3. Step 3: Cross multiply
    17,720.04x = 24,454.14 × 10,167
  4. Step 4: Simplify right side
    17,720.04x = 248,625,241.38
  5. Step 5: Solve for x
    x = 248,625,241.38/17,720.04
  6. Step 6: Final answer
    x = 14,030.74

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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.