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Finding the Fourth Proportional to 22,333.50, 30,820.23 and 12,397.50

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Solution

The fourth proportional to 22,333.50, 30,820.23 and 12,397.50 is: 17,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.50 : 30,820.23 = 12,397.50 : x
  2. Step 2: Convert to fraction form
    22,333.50/30,820.23 = 12,397.50/x
  3. Step 3: Cross multiply
    22,333.50x = 30,820.23 × 12,397.50
  4. Step 4: Simplify right side
    22,333.50x = 382,093,801.43
  5. Step 5: Solve for x
    x = 382,093,801.43/22,333.50
  6. Step 6: Final answer
    x = 17,108.55

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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.