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Finding the Fourth Proportional to 28,291.97, 42,423.36 and 11,648.90

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Solution

The fourth proportional to 28,291.97, 42,423.36 and 11,648.90 is: 17,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,291.97 : 42,423.36 = 11,648.90 : x
  2. Step 2: Convert to fraction form
    28,291.97/42,423.36 = 11,648.90/x
  3. Step 3: Cross multiply
    28,291.97x = 42,423.36 × 11,648.90
  4. Step 4: Simplify right side
    28,291.97x = 494,185,266.19
  5. Step 5: Solve for x
    x = 494,185,266.19/28,291.97
  6. Step 6: Final answer
    x = 17,467.34

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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.