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Finding the Fourth Proportional to 17,670.67, 24,386.03 and 9,713.41

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Solution

The fourth proportional to 17,670.67, 24,386.03 and 9,713.41 is: 13,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.67 : 24,386.03 = 9,713.41 : x
  2. Step 2: Convert to fraction form
    17,670.67/24,386.03 = 9,713.41/x
  3. Step 3: Cross multiply
    17,670.67x = 24,386.03 × 9,713.41
  4. Step 4: Simplify right side
    17,670.67x = 236,871,507.66
  5. Step 5: Solve for x
    x = 236,871,507.66/17,670.67
  6. Step 6: Final answer
    x = 13,404.78

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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.