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Finding the Fourth Proportional to 16,160.61, 24,222.93 and 6,797.82

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Solution

The fourth proportional to 16,160.61, 24,222.93 and 6,797.82 is: 10,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.61 : 24,222.93 = 6,797.82 : x
  2. Step 2: Convert to fraction form
    16,160.61/24,222.93 = 6,797.82/x
  3. Step 3: Cross multiply
    16,160.61x = 24,222.93 × 6,797.82
  4. Step 4: Simplify right side
    16,160.61x = 164,663,118.01
  5. Step 5: Solve for x
    x = 164,663,118.01/16,160.61
  6. Step 6: Final answer
    x = 10,189.16

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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.