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Finding the Fourth Proportional to 34,376.20, 51,539.70 and 13,298.20

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Solution

The fourth proportional to 34,376.20, 51,539.70 and 13,298.20 is: 19,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,376.20 : 51,539.70 = 13,298.20 : x
  2. Step 2: Convert to fraction form
    34,376.20/51,539.70 = 13,298.20/x
  3. Step 3: Cross multiply
    34,376.20x = 51,539.70 × 13,298.20
  4. Step 4: Simplify right side
    34,376.20x = 685,385,238.54
  5. Step 5: Solve for x
    x = 685,385,238.54/34,376.20
  6. Step 6: Final answer
    x = 19,937.78

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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.