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Finding the Fourth Proportional to 23,114.38, 31,897.80 and 12,504.01

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Solution

The fourth proportional to 23,114.38, 31,897.80 and 12,504.01 is: 17,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.38 : 31,897.80 = 12,504.01 : x
  2. Step 2: Convert to fraction form
    23,114.38/31,897.80 = 12,504.01/x
  3. Step 3: Cross multiply
    23,114.38x = 31,897.80 × 12,504.01
  4. Step 4: Simplify right side
    23,114.38x = 398,850,410.18
  5. Step 5: Solve for x
    x = 398,850,410.18/23,114.38
  6. Step 6: Final answer
    x = 17,255.51

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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.