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Finding the Fourth Proportional to 24,952.40, 34,433.78 and 13,622.23

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Solution

The fourth proportional to 24,952.40, 34,433.78 and 13,622.23 is: 18,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952.40 : 34,433.78 = 13,622.23 : x
  2. Step 2: Convert to fraction form
    24,952.40/34,433.78 = 13,622.23/x
  3. Step 3: Cross multiply
    24,952.40x = 34,433.78 × 13,622.23
  4. Step 4: Simplify right side
    24,952.40x = 469,064,767.11
  5. Step 5: Solve for x
    x = 469,064,767.11/24,952.40
  6. Step 6: Final answer
    x = 18,798.38

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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.