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Finding the Fourth Proportional to 23,167.80, 31,971.45 and 12,557.40

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Solution

The fourth proportional to 23,167.80, 31,971.45 and 12,557.40 is: 17,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.80 : 31,971.45 = 12,557.40 : x
  2. Step 2: Convert to fraction form
    23,167.80/31,971.45 = 12,557.40/x
  3. Step 3: Cross multiply
    23,167.80x = 31,971.45 × 12,557.40
  4. Step 4: Simplify right side
    23,167.80x = 401,478,286.23
  5. Step 5: Solve for x
    x = 401,478,286.23/23,167.80
  6. Step 6: Final answer
    x = 17,329.15

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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.