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Finding the Fourth Proportional to 12,034.31, 18,045.75 and 7,038.10

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Solution

The fourth proportional to 12,034.31, 18,045.75 and 7,038.10 is: 10,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.31 : 18,045.75 = 7,038.10 : x
  2. Step 2: Convert to fraction form
    12,034.31/18,045.75 = 7,038.10/x
  3. Step 3: Cross multiply
    12,034.31x = 18,045.75 × 7,038.10
  4. Step 4: Simplify right side
    12,034.31x = 127,007,793.08
  5. Step 5: Solve for x
    x = 127,007,793.08/12,034.31
  6. Step 6: Final answer
    x = 10,553.81

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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.