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Finding the Fourth Proportional to 22,468.89, 33,703.34 and 7,677.93

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Solution

The fourth proportional to 22,468.89, 33,703.34 and 7,677.93 is: 11,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.89 : 33,703.34 = 7,677.93 : x
  2. Step 2: Convert to fraction form
    22,468.89/33,703.34 = 7,677.93/x
  3. Step 3: Cross multiply
    22,468.89x = 33,703.34 × 7,677.93
  4. Step 4: Simplify right side
    22,468.89x = 258,771,885.29
  5. Step 5: Solve for x
    x = 258,771,885.29/22,468.89
  6. Step 6: Final answer
    x = 11,516.90

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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.