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Finding the Fourth Proportional to 28,232.68, 42,317.34 and 13,429.48

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Solution

The fourth proportional to 28,232.68, 42,317.34 and 13,429.48 is: 20,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,232.68 : 42,317.34 = 13,429.48 : x
  2. Step 2: Convert to fraction form
    28,232.68/42,317.34 = 13,429.48/x
  3. Step 3: Cross multiply
    28,232.68x = 42,317.34 × 13,429.48
  4. Step 4: Simplify right side
    28,232.68x = 568,299,871.18
  5. Step 5: Solve for x
    x = 568,299,871.18/28,232.68
  6. Step 6: Final answer
    x = 20,129.15

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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.