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Finding the Fourth Proportional to 14,188.86, 21,286.08 and 5,864.40

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Solution

The fourth proportional to 14,188.86, 21,286.08 and 5,864.40 is: 8,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.86 : 21,286.08 = 5,864.40 : x
  2. Step 2: Convert to fraction form
    14,188.86/21,286.08 = 5,864.40/x
  3. Step 3: Cross multiply
    14,188.86x = 21,286.08 × 5,864.40
  4. Step 4: Simplify right side
    14,188.86x = 124,830,087.55
  5. Step 5: Solve for x
    x = 124,830,087.55/14,188.86
  6. Step 6: Final answer
    x = 8,797.75

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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.