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Finding the Fourth Proportional to 12,024.54, 18,029.88 and 3,702.32

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Solution

The fourth proportional to 12,024.54, 18,029.88 and 3,702.32 is: 5,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.54 : 18,029.88 = 3,702.32 : x
  2. Step 2: Convert to fraction form
    12,024.54/18,029.88 = 3,702.32/x
  3. Step 3: Cross multiply
    12,024.54x = 18,029.88 × 3,702.32
  4. Step 4: Simplify right side
    12,024.54x = 66,752,295.17
  5. Step 5: Solve for x
    x = 66,752,295.17/12,024.54
  6. Step 6: Final answer
    x = 5,551.34

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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.