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Finding the Fourth Proportional to 34,309.68, 51,463.96 and 13,533.36

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Solution

The fourth proportional to 34,309.68, 51,463.96 and 13,533.36 is: 20,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309.68 : 51,463.96 = 13,533.36 : x
  2. Step 2: Convert to fraction form
    34,309.68/51,463.96 = 13,533.36/x
  3. Step 3: Cross multiply
    34,309.68x = 51,463.96 × 13,533.36
  4. Step 4: Simplify right side
    34,309.68x = 696,480,297.71
  5. Step 5: Solve for x
    x = 696,480,297.71/34,309.68
  6. Step 6: Final answer
    x = 20,299.82

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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.