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Finding the Fourth Proportional to 23,153.84, 31,952.23 and 12,543.65

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Solution

The fourth proportional to 23,153.84, 31,952.23 and 12,543.65 is: 17,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.84 : 31,952.23 = 12,543.65 : x
  2. Step 2: Convert to fraction form
    23,153.84/31,952.23 = 12,543.65/x
  3. Step 3: Cross multiply
    23,153.84x = 31,952.23 × 12,543.65
  4. Step 4: Simplify right side
    23,153.84x = 400,797,589.84
  5. Step 5: Solve for x
    x = 400,797,589.84/23,153.84
  6. Step 6: Final answer
    x = 17,310.20

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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.