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Finding the Fourth Proportional to 28,283.52, 42,438.96 and 11,648.64

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Solution

The fourth proportional to 28,283.52, 42,438.96 and 11,648.64 is: 17,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,283.52 : 42,438.96 = 11,648.64 : x
  2. Step 2: Convert to fraction form
    28,283.52/42,438.96 = 11,648.64/x
  3. Step 3: Cross multiply
    28,283.52x = 42,438.96 × 11,648.64
  4. Step 4: Simplify right side
    28,283.52x = 494,356,167.01
  5. Step 5: Solve for x
    x = 494,356,167.01/28,283.52
  6. Step 6: Final answer
    x = 17,478.59

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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.