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Finding the Fourth Proportional to 34,213.71, 51,320.19 and 10,840.14

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Solution

The fourth proportional to 34,213.71, 51,320.19 and 10,840.14 is: 16,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.71 : 51,320.19 = 10,840.14 : x
  2. Step 2: Convert to fraction form
    34,213.71/51,320.19 = 10,840.14/x
  3. Step 3: Cross multiply
    34,213.71x = 51,320.19 × 10,840.14
  4. Step 4: Simplify right side
    34,213.71x = 556,318,044.43
  5. Step 5: Solve for x
    x = 556,318,044.43/34,213.71
  6. Step 6: Final answer
    x = 16,260.09

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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.