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Finding the Fourth Proportional to 28,280.34, 42,431.85 and 11,648.61

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Solution

The fourth proportional to 28,280.34, 42,431.85 and 11,648.61 is: 17,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,280.34 : 42,431.85 = 11,648.61 : x
  2. Step 2: Convert to fraction form
    28,280.34/42,431.85 = 11,648.61/x
  3. Step 3: Cross multiply
    28,280.34x = 42,431.85 × 11,648.61
  4. Step 4: Simplify right side
    28,280.34x = 494,272,072.23
  5. Step 5: Solve for x
    x = 494,272,072.23/28,280.34
  6. Step 6: Final answer
    x = 17,477.59

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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.