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Finding the Fourth Proportional to 23,154, 31,952.52 and 12,543.63

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Solution

The fourth proportional to 23,154, 31,952.52 and 12,543.63 is: 17,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154 : 31,952.52 = 12,543.63 : x
  2. Step 2: Convert to fraction form
    23,154/31,952.52 = 12,543.63/x
  3. Step 3: Cross multiply
    23,154x = 31,952.52 × 12,543.63
  4. Step 4: Simplify right side
    23,154x = 400,800,588.45
  5. Step 5: Solve for x
    x = 400,800,588.45/23,154
  6. Step 6: Final answer
    x = 17,310.21

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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.