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Finding the Fourth Proportional to 14,139.38, 19,509.81 and 9,168.50

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Solution

The fourth proportional to 14,139.38, 19,509.81 and 9,168.50 is: 12,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139.38 : 19,509.81 = 9,168.50 : x
  2. Step 2: Convert to fraction form
    14,139.38/19,509.81 = 9,168.50/x
  3. Step 3: Cross multiply
    14,139.38x = 19,509.81 × 9,168.50
  4. Step 4: Simplify right side
    14,139.38x = 178,875,692.99
  5. Step 5: Solve for x
    x = 178,875,692.99/14,139.38
  6. Step 6: Final answer
    x = 12,650.89

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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.