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Finding the Fourth Proportional to 10,692.24, 16,018.74 and 9,658.86

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Solution

The fourth proportional to 10,692.24, 16,018.74 and 9,658.86 is: 14,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.24 : 16,018.74 = 9,658.86 : x
  2. Step 2: Convert to fraction form
    10,692.24/16,018.74 = 9,658.86/x
  3. Step 3: Cross multiply
    10,692.24x = 16,018.74 × 9,658.86
  4. Step 4: Simplify right side
    10,692.24x = 154,722,767.04
  5. Step 5: Solve for x
    x = 154,722,767.04/10,692.24
  6. Step 6: Final answer
    x = 14,470.57

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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.