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Finding the Fourth Proportional to 16,434.28, 24,654 and 5,763.56

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Solution

The fourth proportional to 16,434.28, 24,654 and 5,763.56 is: 8,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.28 : 24,654 = 5,763.56 : x
  2. Step 2: Convert to fraction form
    16,434.28/24,654 = 5,763.56/x
  3. Step 3: Cross multiply
    16,434.28x = 24,654 × 5,763.56
  4. Step 4: Simplify right side
    16,434.28x = 142,094,808.24
  5. Step 5: Solve for x
    x = 142,094,808.24/16,434.28
  6. Step 6: Final answer
    x = 8,646.24

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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.