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Finding the Fourth Proportional to 12,349.74, 18,526.13 and 4,027.53

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Solution

The fourth proportional to 12,349.74, 18,526.13 and 4,027.53 is: 6,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.74 : 18,526.13 = 4,027.53 : x
  2. Step 2: Convert to fraction form
    12,349.74/18,526.13 = 4,027.53/x
  3. Step 3: Cross multiply
    12,349.74x = 18,526.13 × 4,027.53
  4. Step 4: Simplify right side
    12,349.74x = 74,614,431.59
  5. Step 5: Solve for x
    x = 74,614,431.59/12,349.74
  6. Step 6: Final answer
    x = 6,041.78

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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.