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Finding the Fourth Proportional to 16,434.18, 24,648.84 and 6,043.50

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Solution

The fourth proportional to 16,434.18, 24,648.84 and 6,043.50 is: 9,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.18 : 24,648.84 = 6,043.50 : x
  2. Step 2: Convert to fraction form
    16,434.18/24,648.84 = 6,043.50/x
  3. Step 3: Cross multiply
    16,434.18x = 24,648.84 × 6,043.50
  4. Step 4: Simplify right side
    16,434.18x = 148,965,264.54
  5. Step 5: Solve for x
    x = 148,965,264.54/16,434.18
  6. Step 6: Final answer
    x = 9,064.36

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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.