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Finding the Fourth Proportional to 34,191.23, 51,281.71 and 10,814.63

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Solution

The fourth proportional to 34,191.23, 51,281.71 and 10,814.63 is: 16,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.23 : 51,281.71 = 10,814.63 : x
  2. Step 2: Convert to fraction form
    34,191.23/51,281.71 = 10,814.63/x
  3. Step 3: Cross multiply
    34,191.23x = 51,281.71 × 10,814.63
  4. Step 4: Simplify right side
    34,191.23x = 554,592,435.97
  5. Step 5: Solve for x
    x = 554,592,435.97/34,191.23
  6. Step 6: Final answer
    x = 16,220.31

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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.