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Finding the Fourth Proportional to 14,024.13, 21,020.04 and 5,695

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Solution

The fourth proportional to 14,024.13, 21,020.04 and 5,695 is: 8,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.13 : 21,020.04 = 5,695 : x
  2. Step 2: Convert to fraction form
    14,024.13/21,020.04 = 5,695/x
  3. Step 3: Cross multiply
    14,024.13x = 21,020.04 × 5,695
  4. Step 4: Simplify right side
    14,024.13x = 119,709,127.80
  5. Step 5: Solve for x
    x = 119,709,127.80/14,024.13
  6. Step 6: Final answer
    x = 8,535.94

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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.