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Finding the Fourth Proportional to 18,347.67, 25,319.93 and 9,964.17

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Solution

The fourth proportional to 18,347.67, 25,319.93 and 9,964.17 is: 13,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,347.67 : 25,319.93 = 9,964.17 : x
  2. Step 2: Convert to fraction form
    18,347.67/25,319.93 = 9,964.17/x
  3. Step 3: Cross multiply
    18,347.67x = 25,319.93 × 9,964.17
  4. Step 4: Simplify right side
    18,347.67x = 252,292,037.09
  5. Step 5: Solve for x
    x = 252,292,037.09/18,347.67
  6. Step 6: Final answer
    x = 13,750.63

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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.