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Finding the Fourth Proportional to 12,538.95, 18,801.48 and 5,148.62

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Solution

The fourth proportional to 12,538.95, 18,801.48 and 5,148.62 is: 7,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.95 : 18,801.48 = 5,148.62 : x
  2. Step 2: Convert to fraction form
    12,538.95/18,801.48 = 5,148.62/x
  3. Step 3: Cross multiply
    12,538.95x = 18,801.48 × 5,148.62
  4. Step 4: Simplify right side
    12,538.95x = 96,801,675.96
  5. Step 5: Solve for x
    x = 96,801,675.96/12,538.95
  6. Step 6: Final answer
    x = 7,720.08

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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.