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Finding the Fourth Proportional to 13,544.65, 20,298.52 and 8,281.50

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Solution

The fourth proportional to 13,544.65, 20,298.52 and 8,281.50 is: 12,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.65 : 20,298.52 = 8,281.50 : x
  2. Step 2: Convert to fraction form
    13,544.65/20,298.52 = 8,281.50/x
  3. Step 3: Cross multiply
    13,544.65x = 20,298.52 × 8,281.50
  4. Step 4: Simplify right side
    13,544.65x = 168,102,193.38
  5. Step 5: Solve for x
    x = 168,102,193.38/13,544.65
  6. Step 6: Final answer
    x = 12,410.97

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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.