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Finding the Fourth Proportional to 16,098.84, 24,147.80 and 4,412.06

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Solution

The fourth proportional to 16,098.84, 24,147.80 and 4,412.06 is: 6,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.84 : 24,147.80 = 4,412.06 : x
  2. Step 2: Convert to fraction form
    16,098.84/24,147.80 = 4,412.06/x
  3. Step 3: Cross multiply
    16,098.84x = 24,147.80 × 4,412.06
  4. Step 4: Simplify right side
    16,098.84x = 106,541,542.47
  5. Step 5: Solve for x
    x = 106,541,542.47/16,098.84
  6. Step 6: Final answer
    x = 6,617.96

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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.