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Finding the Fourth Proportional to 17,347, 26,019.58 and 4,867.90

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Solution

The fourth proportional to 17,347, 26,019.58 and 4,867.90 is: 7,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,347 : 26,019.58 = 4,867.90 : x
  2. Step 2: Convert to fraction form
    17,347/26,019.58 = 4,867.90/x
  3. Step 3: Cross multiply
    17,347x = 26,019.58 × 4,867.90
  4. Step 4: Simplify right side
    17,347x = 126,660,713.48
  5. Step 5: Solve for x
    x = 126,660,713.48/17,347
  6. Step 6: Final answer
    x = 7,301.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.