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Finding the Fourth Proportional to 12,407.29, 18,608.90 and 4,087.42

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Solution

The fourth proportional to 12,407.29, 18,608.90 and 4,087.42 is: 6,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.29 : 18,608.90 = 4,087.42 : x
  2. Step 2: Convert to fraction form
    12,407.29/18,608.90 = 4,087.42/x
  3. Step 3: Cross multiply
    12,407.29x = 18,608.90 × 4,087.42
  4. Step 4: Simplify right side
    12,407.29x = 76,062,323.08
  5. Step 5: Solve for x
    x = 76,062,323.08/12,407.29
  6. Step 6: Final answer
    x = 6,130.46

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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.