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Finding the Fourth Proportional to 23,167.29, 31,971.02 and 12,557.10

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Solution

The fourth proportional to 23,167.29, 31,971.02 and 12,557.10 is: 17,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.29 : 31,971.02 = 12,557.10 : x
  2. Step 2: Convert to fraction form
    23,167.29/31,971.02 = 12,557.10/x
  3. Step 3: Cross multiply
    23,167.29x = 31,971.02 × 12,557.10
  4. Step 4: Simplify right side
    23,167.29x = 401,463,295.24
  5. Step 5: Solve for x
    x = 401,463,295.24/23,167.29
  6. Step 6: Final answer
    x = 17,328.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.