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Finding the Fourth Proportional to 28,257.72, 42,358.98 and 13,462.68

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Solution

The fourth proportional to 28,257.72, 42,358.98 and 13,462.68 is: 20,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.72 : 42,358.98 = 13,462.68 : x
  2. Step 2: Convert to fraction form
    28,257.72/42,358.98 = 13,462.68/x
  3. Step 3: Cross multiply
    28,257.72x = 42,358.98 × 13,462.68
  4. Step 4: Simplify right side
    28,257.72x = 570,265,392.87
  5. Step 5: Solve for x
    x = 570,265,392.87/28,257.72
  6. Step 6: Final answer
    x = 20,180.87

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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.