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Finding the Fourth Proportional to 16,349, 22,561.68 and 8,897

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Solution

The fourth proportional to 16,349, 22,561.68 and 8,897 is: 12,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349 : 22,561.68 = 8,897 : x
  2. Step 2: Convert to fraction form
    16,349/22,561.68 = 8,897/x
  3. Step 3: Cross multiply
    16,349x = 22,561.68 × 8,897
  4. Step 4: Simplify right side
    16,349x = 200,731,266.96
  5. Step 5: Solve for x
    x = 200,731,266.96/16,349
  6. Step 6: Final answer
    x = 12,277.89

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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.