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Finding the Fourth Proportional to 13,904.79, 20,854.67 and 5,584.47

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Solution

The fourth proportional to 13,904.79, 20,854.67 and 5,584.47 is: 8,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.79 : 20,854.67 = 5,584.47 : x
  2. Step 2: Convert to fraction form
    13,904.79/20,854.67 = 5,584.47/x
  3. Step 3: Cross multiply
    13,904.79x = 20,854.67 × 5,584.47
  4. Step 4: Simplify right side
    13,904.79x = 116,462,251.05
  5. Step 5: Solve for x
    x = 116,462,251.05/13,904.79
  6. Step 6: Final answer
    x = 8,375.69

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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.