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Finding the Fourth Proportional to 12,024, 16,591.96 and 7,546.32

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Solution

The fourth proportional to 12,024, 16,591.96 and 7,546.32 is: 10,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 16,591.96 = 7,546.32 : x
  2. Step 2: Convert to fraction form
    12,024/16,591.96 = 7,546.32/x
  3. Step 3: Cross multiply
    12,024x = 16,591.96 × 7,546.32
  4. Step 4: Simplify right side
    12,024x = 125,208,239.59
  5. Step 5: Solve for x
    x = 125,208,239.59/12,024
  6. Step 6: Final answer
    x = 10,413.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.