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Finding the Fourth Proportional to 15,235.16, 22,848.42 and 5,999

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Solution

The fourth proportional to 15,235.16, 22,848.42 and 5,999 is: 8,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.16 : 22,848.42 = 5,999 : x
  2. Step 2: Convert to fraction form
    15,235.16/22,848.42 = 5,999/x
  3. Step 3: Cross multiply
    15,235.16x = 22,848.42 × 5,999
  4. Step 4: Simplify right side
    15,235.16x = 137,067,671.58
  5. Step 5: Solve for x
    x = 137,067,671.58/15,235.16
  6. Step 6: Final answer
    x = 8,996.80

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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.