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Finding the Fourth Proportional to 34,240.86, 51,364.53 and 13,459.50

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Solution

The fourth proportional to 34,240.86, 51,364.53 and 13,459.50 is: 20,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,240.86 : 51,364.53 = 13,459.50 : x
  2. Step 2: Convert to fraction form
    34,240.86/51,364.53 = 13,459.50/x
  3. Step 3: Cross multiply
    34,240.86x = 51,364.53 × 13,459.50
  4. Step 4: Simplify right side
    34,240.86x = 691,340,891.54
  5. Step 5: Solve for x
    x = 691,340,891.54/34,240.86
  6. Step 6: Final answer
    x = 20,190.52

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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.