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Finding the Fourth Proportional to 34,253.10, 51,382.80 and 13,471.74

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Solution

The fourth proportional to 34,253.10, 51,382.80 and 13,471.74 is: 20,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,253.10 : 51,382.80 = 13,471.74 : x
  2. Step 2: Convert to fraction form
    34,253.10/51,382.80 = 13,471.74/x
  3. Step 3: Cross multiply
    34,253.10x = 51,382.80 × 13,471.74
  4. Step 4: Simplify right side
    34,253.10x = 692,215,722.07
  5. Step 5: Solve for x
    x = 692,215,722.07/34,253.10
  6. Step 6: Final answer
    x = 20,208.85

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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.