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Finding the Fourth Proportional to 24,357.66, 36,471.21 and 16,946.46

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Solution

The fourth proportional to 24,357.66, 36,471.21 and 16,946.46 is: 25,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.66 : 36,471.21 = 16,946.46 : x
  2. Step 2: Convert to fraction form
    24,357.66/36,471.21 = 16,946.46/x
  3. Step 3: Cross multiply
    24,357.66x = 36,471.21 × 16,946.46
  4. Step 4: Simplify right side
    24,357.66x = 618,057,901.42
  5. Step 5: Solve for x
    x = 618,057,901.42/24,357.66
  6. Step 6: Final answer
    x = 25,374.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.