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Finding the Fourth Proportional to 28,174.32, 42,282.90 and 10,421.77

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Solution

The fourth proportional to 28,174.32, 42,282.90 and 10,421.77 is: 15,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,174.32 : 42,282.90 = 10,421.77 : x
  2. Step 2: Convert to fraction form
    28,174.32/42,282.90 = 10,421.77/x
  3. Step 3: Cross multiply
    28,174.32x = 42,282.90 × 10,421.77
  4. Step 4: Simplify right side
    28,174.32x = 440,662,658.73
  5. Step 5: Solve for x
    x = 440,662,658.73/28,174.32
  6. Step 6: Final answer
    x = 15,640.58

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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.