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Finding the Fourth Proportional to 13,564.20, 18,717.56 and 7,594.50

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Solution

The fourth proportional to 13,564.20, 18,717.56 and 7,594.50 is: 10,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.20 : 18,717.56 = 7,594.50 : x
  2. Step 2: Convert to fraction form
    13,564.20/18,717.56 = 7,594.50/x
  3. Step 3: Cross multiply
    13,564.20x = 18,717.56 × 7,594.50
  4. Step 4: Simplify right side
    13,564.20x = 142,150,509.42
  5. Step 5: Solve for x
    x = 142,150,509.42/13,564.20
  6. Step 6: Final answer
    x = 10,479.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.