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Finding the Fourth Proportional to 24,362.25, 36,545.21 and 13,828.20

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Solution

The fourth proportional to 24,362.25, 36,545.21 and 13,828.20 is: 20,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.25 : 36,545.21 = 13,828.20 : x
  2. Step 2: Convert to fraction form
    24,362.25/36,545.21 = 13,828.20/x
  3. Step 3: Cross multiply
    24,362.25x = 36,545.21 × 13,828.20
  4. Step 4: Simplify right side
    24,362.25x = 505,354,403.78
  5. Step 5: Solve for x
    x = 505,354,403.78/24,362.25
  6. Step 6: Final answer
    x = 20,743.34

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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.