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Finding the Fourth Proportional to 14,570.28, 21,855.42 and 6,769.98

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Solution

The fourth proportional to 14,570.28, 21,855.42 and 6,769.98 is: 10,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.28 : 21,855.42 = 6,769.98 : x
  2. Step 2: Convert to fraction form
    14,570.28/21,855.42 = 6,769.98/x
  3. Step 3: Cross multiply
    14,570.28x = 21,855.42 × 6,769.98
  4. Step 4: Simplify right side
    14,570.28x = 147,960,756.29
  5. Step 5: Solve for x
    x = 147,960,756.29/14,570.28
  6. Step 6: Final answer
    x = 10,154.97

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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.