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Finding the Fourth Proportional to 18,317.50, 25,278.17 and 9,934

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Solution

The fourth proportional to 18,317.50, 25,278.17 and 9,934 is: 13,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,317.50 : 25,278.17 = 9,934 : x
  2. Step 2: Convert to fraction form
    18,317.50/25,278.17 = 9,934/x
  3. Step 3: Cross multiply
    18,317.50x = 25,278.17 × 9,934
  4. Step 4: Simplify right side
    18,317.50x = 251,113,291.11
  5. Step 5: Solve for x
    x = 251,113,291.11/18,317.50
  6. Step 6: Final answer
    x = 13,708.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.