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Finding the Fourth Proportional to 12,468.80, 18,686.96 and 5,064.61

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Solution

The fourth proportional to 12,468.80, 18,686.96 and 5,064.61 is: 7,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.80 : 18,686.96 = 5,064.61 : x
  2. Step 2: Convert to fraction form
    12,468.80/18,686.96 = 5,064.61/x
  3. Step 3: Cross multiply
    12,468.80x = 18,686.96 × 5,064.61
  4. Step 4: Simplify right side
    12,468.80x = 94,642,160.72
  5. Step 5: Solve for x
    x = 94,642,160.72/12,468.80
  6. Step 6: Final answer
    x = 7,590.32

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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.