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Finding the Fourth Proportional to 14,269.72, 19,692.04 and 7,895.83

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Solution

The fourth proportional to 14,269.72, 19,692.04 and 7,895.83 is: 10,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.72 : 19,692.04 = 7,895.83 : x
  2. Step 2: Convert to fraction form
    14,269.72/19,692.04 = 7,895.83/x
  3. Step 3: Cross multiply
    14,269.72x = 19,692.04 × 7,895.83
  4. Step 4: Simplify right side
    14,269.72x = 155,485,000.19
  5. Step 5: Solve for x
    x = 155,485,000.19/14,269.72
  6. Step 6: Final answer
    x = 10,896.15

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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.