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Finding the Fourth Proportional to 23,112, 31,874.04 and 14,603.76

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Solution

The fourth proportional to 23,112, 31,874.04 and 14,603.76 is: 20,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 31,874.04 = 14,603.76 : x
  2. Step 2: Convert to fraction form
    23,112/31,874.04 = 14,603.76/x
  3. Step 3: Cross multiply
    23,112x = 31,874.04 × 14,603.76
  4. Step 4: Simplify right side
    23,112x = 465,480,830.39
  5. Step 5: Solve for x
    x = 465,480,830.39/23,112
  6. Step 6: Final answer
    x = 20,140.22

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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.