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Finding the Fourth Proportional to 13,821.68, 20,726.04 and 6,024.08

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Solution

The fourth proportional to 13,821.68, 20,726.04 and 6,024.08 is: 9,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.68 : 20,726.04 = 6,024.08 : x
  2. Step 2: Convert to fraction form
    13,821.68/20,726.04 = 6,024.08/x
  3. Step 3: Cross multiply
    13,821.68x = 20,726.04 × 6,024.08
  4. Step 4: Simplify right side
    13,821.68x = 124,855,323.04
  5. Step 5: Solve for x
    x = 124,855,323.04/13,821.68
  6. Step 6: Final answer
    x = 9,033.30

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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.