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Finding the Fourth Proportional to 22,213.84, 30,640.96 and 16,897

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Solution

The fourth proportional to 22,213.84, 30,640.96 and 16,897 is: 23,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.84 : 30,640.96 = 16,897 : x
  2. Step 2: Convert to fraction form
    22,213.84/30,640.96 = 16,897/x
  3. Step 3: Cross multiply
    22,213.84x = 30,640.96 × 16,897
  4. Step 4: Simplify right side
    22,213.84x = 517,740,301.12
  5. Step 5: Solve for x
    x = 517,740,301.12/22,213.84
  6. Step 6: Final answer
    x = 23,307.10

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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.