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Finding the Fourth Proportional to 24,592.32, 33,974.40 and 16,114.59

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Solution

The fourth proportional to 24,592.32, 33,974.40 and 16,114.59 is: 22,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.32 : 33,974.40 = 16,114.59 : x
  2. Step 2: Convert to fraction form
    24,592.32/33,974.40 = 16,114.59/x
  3. Step 3: Cross multiply
    24,592.32x = 33,974.40 × 16,114.59
  4. Step 4: Simplify right side
    24,592.32x = 547,483,526.50
  5. Step 5: Solve for x
    x = 547,483,526.50/24,592.32
  6. Step 6: Final answer
    x = 22,262.38

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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.