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Finding the Fourth Proportional to 24,803.38, 34,237.65 and 16,422.58

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Solution

The fourth proportional to 24,803.38, 34,237.65 and 16,422.58 is: 22,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.38 : 34,237.65 = 16,422.58 : x
  2. Step 2: Convert to fraction form
    24,803.38/34,237.65 = 16,422.58/x
  3. Step 3: Cross multiply
    24,803.38x = 34,237.65 × 16,422.58
  4. Step 4: Simplify right side
    24,803.38x = 562,270,546.14
  5. Step 5: Solve for x
    x = 562,270,546.14/24,803.38
  6. Step 6: Final answer
    x = 22,669.11

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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.