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Finding the Fourth Proportional to 12,468.20, 18,686.16 and 5,064.07

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Solution

The fourth proportional to 12,468.20, 18,686.16 and 5,064.07 is: 7,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.20 : 18,686.16 = 5,064.07 : x
  2. Step 2: Convert to fraction form
    12,468.20/18,686.16 = 5,064.07/x
  3. Step 3: Cross multiply
    12,468.20x = 18,686.16 × 5,064.07
  4. Step 4: Simplify right side
    12,468.20x = 94,627,928.84
  5. Step 5: Solve for x
    x = 94,627,928.84/12,468.20
  6. Step 6: Final answer
    x = 7,589.55

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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.