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Finding the Fourth Proportional to 12,290.34, 16,905.87 and 10,770.38

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Solution

The fourth proportional to 12,290.34, 16,905.87 and 10,770.38 is: 14,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.34 : 16,905.87 = 10,770.38 : x
  2. Step 2: Convert to fraction form
    12,290.34/16,905.87 = 10,770.38/x
  3. Step 3: Cross multiply
    12,290.34x = 16,905.87 × 10,770.38
  4. Step 4: Simplify right side
    12,290.34x = 182,082,644.13
  5. Step 5: Solve for x
    x = 182,082,644.13/12,290.34
  6. Step 6: Final answer
    x = 14,815.10

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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.