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Finding the Fourth Proportional to 13,821.52, 20,726.88 and 6,025

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Solution

The fourth proportional to 13,821.52, 20,726.88 and 6,025 is: 9,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.52 : 20,726.88 = 6,025 : x
  2. Step 2: Convert to fraction form
    13,821.52/20,726.88 = 6,025/x
  3. Step 3: Cross multiply
    13,821.52x = 20,726.88 × 6,025
  4. Step 4: Simplify right side
    13,821.52x = 124,879,452
  5. Step 5: Solve for x
    x = 124,879,452/13,821.52
  6. Step 6: Final answer
    x = 9,035.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.