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Finding the Fourth Proportional to 21,755.38, 30,023.61 and 12,325.78

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Solution

The fourth proportional to 21,755.38, 30,023.61 and 12,325.78 is: 17,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.38 : 30,023.61 = 12,325.78 : x
  2. Step 2: Convert to fraction form
    21,755.38/30,023.61 = 12,325.78/x
  3. Step 3: Cross multiply
    21,755.38x = 30,023.61 × 12,325.78
  4. Step 4: Simplify right side
    21,755.38x = 370,064,411.67
  5. Step 5: Solve for x
    x = 370,064,411.67/21,755.38
  6. Step 6: Final answer
    x = 17,010.25

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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.