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Finding the Fourth Proportional to 24,467.20, 34,323.20 and 24,467.20

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Solution

The fourth proportional to 24,467.20, 34,323.20 and 24,467.20 is: 34,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.20 : 34,323.20 = 24,467.20 : x
  2. Step 2: Convert to fraction form
    24,467.20/34,323.20 = 24,467.20/x
  3. Step 3: Cross multiply
    24,467.20x = 34,323.20 × 24,467.20
  4. Step 4: Simplify right side
    24,467.20x = 839,792,599.04
  5. Step 5: Solve for x
    x = 839,792,599.04/24,467.20
  6. Step 6: Final answer
    x = 34,323.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.