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Finding the Fourth Proportional to 12,692.19, 19,042.17 and 5,678.10

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Solution

The fourth proportional to 12,692.19, 19,042.17 and 5,678.10 is: 8,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.19 : 19,042.17 = 5,678.10 : x
  2. Step 2: Convert to fraction form
    12,692.19/19,042.17 = 5,678.10/x
  3. Step 3: Cross multiply
    12,692.19x = 19,042.17 × 5,678.10
  4. Step 4: Simplify right side
    12,692.19x = 108,123,345.48
  5. Step 5: Solve for x
    x = 108,123,345.48/12,692.19
  6. Step 6: Final answer
    x = 8,518.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.