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Finding the Fourth Proportional to 34,216.40, 51,324.18 and 10,842.80

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Solution

The fourth proportional to 34,216.40, 51,324.18 and 10,842.80 is: 16,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,216.40 : 51,324.18 = 10,842.80 : x
  2. Step 2: Convert to fraction form
    34,216.40/51,324.18 = 10,842.80/x
  3. Step 3: Cross multiply
    34,216.40x = 51,324.18 × 10,842.80
  4. Step 4: Simplify right side
    34,216.40x = 556,497,818.90
  5. Step 5: Solve for x
    x = 556,497,818.90/34,216.40
  6. Step 6: Final answer
    x = 16,264.07

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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.