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Finding the Fourth Proportional to 15,232, 22,837.59 and 8,117.31

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Solution

The fourth proportional to 15,232, 22,837.59 and 8,117.31 is: 12,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232 : 22,837.59 = 8,117.31 : x
  2. Step 2: Convert to fraction form
    15,232/22,837.59 = 8,117.31/x
  3. Step 3: Cross multiply
    15,232x = 22,837.59 × 8,117.31
  4. Step 4: Simplify right side
    15,232x = 185,379,797.68
  5. Step 5: Solve for x
    x = 185,379,797.68/15,232
  6. Step 6: Final answer
    x = 12,170.42

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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.