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Finding the Fourth Proportional to 16,778.82, 23,154.82 and 9,225.93

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Solution

The fourth proportional to 16,778.82, 23,154.82 and 9,225.93 is: 12,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.82 : 23,154.82 = 9,225.93 : x
  2. Step 2: Convert to fraction form
    16,778.82/23,154.82 = 9,225.93/x
  3. Step 3: Cross multiply
    16,778.82x = 23,154.82 × 9,225.93
  4. Step 4: Simplify right side
    16,778.82x = 213,624,655.77
  5. Step 5: Solve for x
    x = 213,624,655.77/16,778.82
  6. Step 6: Final answer
    x = 12,731.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.