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Finding the Fourth Proportional to 16,414.65, 24,634.95 and 6,029.37

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Solution

The fourth proportional to 16,414.65, 24,634.95 and 6,029.37 is: 9,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.65 : 24,634.95 = 6,029.37 : x
  2. Step 2: Convert to fraction form
    16,414.65/24,634.95 = 6,029.37/x
  3. Step 3: Cross multiply
    16,414.65x = 24,634.95 × 6,029.37
  4. Step 4: Simplify right side
    16,414.65x = 148,533,228.48
  5. Step 5: Solve for x
    x = 148,533,228.48/16,414.65
  6. Step 6: Final answer
    x = 9,048.82

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