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Finding the Fourth Proportional to 12,117.34, 18,184.38 and 7,959.34

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Solution

The fourth proportional to 12,117.34, 18,184.38 and 7,959.34 is: 11,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.34 : 18,184.38 = 7,959.34 : x
  2. Step 2: Convert to fraction form
    12,117.34/18,184.38 = 7,959.34/x
  3. Step 3: Cross multiply
    12,117.34x = 18,184.38 × 7,959.34
  4. Step 4: Simplify right side
    12,117.34x = 144,735,663.11
  5. Step 5: Solve for x
    x = 144,735,663.11/12,117.34
  6. Step 6: Final answer
    x = 11,944.51

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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.