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Finding the Fourth Proportional to 12,034.68, 18,038.16 and 4,635.42

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Solution

The fourth proportional to 12,034.68, 18,038.16 and 4,635.42 is: 6,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.68 : 18,038.16 = 4,635.42 : x
  2. Step 2: Convert to fraction form
    12,034.68/18,038.16 = 4,635.42/x
  3. Step 3: Cross multiply
    12,034.68x = 18,038.16 × 4,635.42
  4. Step 4: Simplify right side
    12,034.68x = 83,614,447.63
  5. Step 5: Solve for x
    x = 83,614,447.63/12,034.68
  6. Step 6: Final answer
    x = 6,947.79

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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.