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Finding the Fourth Proportional to 12,380.16, 18,566.16 and 5,713.93

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Solution

The fourth proportional to 12,380.16, 18,566.16 and 5,713.93 is: 8,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.16 : 18,566.16 = 5,713.93 : x
  2. Step 2: Convert to fraction form
    12,380.16/18,566.16 = 5,713.93/x
  3. Step 3: Cross multiply
    12,380.16x = 18,566.16 × 5,713.93
  4. Step 4: Simplify right side
    12,380.16x = 106,085,738.61
  5. Step 5: Solve for x
    x = 106,085,738.61/12,380.16
  6. Step 6: Final answer
    x = 8,569.01

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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.