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Finding the Fourth Proportional to 24,825.36, 34,219 and 20,341.20

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Solution

The fourth proportional to 24,825.36, 34,219 and 20,341.20 is: 28,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.36 : 34,219 = 20,341.20 : x
  2. Step 2: Convert to fraction form
    24,825.36/34,219 = 20,341.20/x
  3. Step 3: Cross multiply
    24,825.36x = 34,219 × 20,341.20
  4. Step 4: Simplify right side
    24,825.36x = 696,055,522.80
  5. Step 5: Solve for x
    x = 696,055,522.80/24,825.36
  6. Step 6: Final answer
    x = 28,038.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.