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Finding the Fourth Proportional to 16,417.76, 24,629.06 and 6,028.70

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Solution

The fourth proportional to 16,417.76, 24,629.06 and 6,028.70 is: 9,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.76 : 24,629.06 = 6,028.70 : x
  2. Step 2: Convert to fraction form
    16,417.76/24,629.06 = 6,028.70/x
  3. Step 3: Cross multiply
    16,417.76x = 24,629.06 × 6,028.70
  4. Step 4: Simplify right side
    16,417.76x = 148,481,060.73
  5. Step 5: Solve for x
    x = 148,481,060.73/16,417.76
  6. Step 6: Final answer
    x = 9,043.93

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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.