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Finding the Fourth Proportional to 19,787.86, 29,692.72 and 11,027.71

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Solution

The fourth proportional to 19,787.86, 29,692.72 and 11,027.71 is: 16,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.86 : 29,692.72 = 11,027.71 : x
  2. Step 2: Convert to fraction form
    19,787.86/29,692.72 = 11,027.71/x
  3. Step 3: Cross multiply
    19,787.86x = 29,692.72 × 11,027.71
  4. Step 4: Simplify right side
    19,787.86x = 327,442,556.81
  5. Step 5: Solve for x
    x = 327,442,556.81/19,787.86
  6. Step 6: Final answer
    x = 16,547.65

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Why These Related Problems?

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