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Finding the Fourth Proportional to 28,658.92, 42,989.56 and 13,658.34

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Solution

The fourth proportional to 28,658.92, 42,989.56 and 13,658.34 is: 20,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,658.92 : 42,989.56 = 13,658.34 : x
  2. Step 2: Convert to fraction form
    28,658.92/42,989.56 = 13,658.34/x
  3. Step 3: Cross multiply
    28,658.92x = 42,989.56 × 13,658.34
  4. Step 4: Simplify right side
    28,658.92x = 587,166,026.93
  5. Step 5: Solve for x
    x = 587,166,026.93/28,658.92
  6. Step 6: Final answer
    x = 20,488.07

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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.