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Finding the Fourth Proportional to 20,897.88, 31,346.48 and 8,417.61

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Solution

The fourth proportional to 20,897.88, 31,346.48 and 8,417.61 is: 12,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.88 : 31,346.48 = 8,417.61 : x
  2. Step 2: Convert to fraction form
    20,897.88/31,346.48 = 8,417.61/x
  3. Step 3: Cross multiply
    20,897.88x = 31,346.48 × 8,417.61
  4. Step 4: Simplify right side
    20,897.88x = 263,862,401.42
  5. Step 5: Solve for x
    x = 263,862,401.42/20,897.88
  6. Step 6: Final answer
    x = 12,626.28

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