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Finding the Fourth Proportional to 20,869.65, 31,307.92 and 10,340.16

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Solution

The fourth proportional to 20,869.65, 31,307.92 and 10,340.16 is: 15,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869.65 : 31,307.92 = 10,340.16 : x
  2. Step 2: Convert to fraction form
    20,869.65/31,307.92 = 10,340.16/x
  3. Step 3: Cross multiply
    20,869.65x = 31,307.92 × 10,340.16
  4. Step 4: Simplify right side
    20,869.65x = 323,728,758.81
  5. Step 5: Solve for x
    x = 323,728,758.81/20,869.65
  6. Step 6: Final answer
    x = 15,511.94

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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.