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Finding the Fourth Proportional to 20,617, 30,900.14 and 9,508.26

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Solution

The fourth proportional to 20,617, 30,900.14 and 9,508.26 is: 14,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617 : 30,900.14 = 9,508.26 : x
  2. Step 2: Convert to fraction form
    20,617/30,900.14 = 9,508.26/x
  3. Step 3: Cross multiply
    20,617x = 30,900.14 × 9,508.26
  4. Step 4: Simplify right side
    20,617x = 293,806,565.16
  5. Step 5: Solve for x
    x = 293,806,565.16/20,617
  6. Step 6: Final answer
    x = 14,250.69

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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.