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Finding the Fourth Proportional to 12,034.17, 18,055.36 and 6,488.05

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Solution

The fourth proportional to 12,034.17, 18,055.36 and 6,488.05 is: 9,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.17 : 18,055.36 = 6,488.05 : x
  2. Step 2: Convert to fraction form
    12,034.17/18,055.36 = 6,488.05/x
  3. Step 3: Cross multiply
    12,034.17x = 18,055.36 × 6,488.05
  4. Step 4: Simplify right side
    12,034.17x = 117,144,078.45
  5. Step 5: Solve for x
    x = 117,144,078.45/12,034.17
  6. Step 6: Final answer
    x = 9,734.29

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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.