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Finding the Fourth Proportional to 22,477.10, 33,719.30 and 8,438.23

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Solution

The fourth proportional to 22,477.10, 33,719.30 and 8,438.23 is: 12,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.10 : 33,719.30 = 8,438.23 : x
  2. Step 2: Convert to fraction form
    22,477.10/33,719.30 = 8,438.23/x
  3. Step 3: Cross multiply
    22,477.10x = 33,719.30 × 8,438.23
  4. Step 4: Simplify right side
    22,477.10x = 284,531,208.84
  5. Step 5: Solve for x
    x = 284,531,208.84/22,477.10
  6. Step 6: Final answer
    x = 12,658.72

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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.