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Finding the Fourth Proportional to 22,677.40, 34,011.24 and 7,093

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Solution

The fourth proportional to 22,677.40, 34,011.24 and 7,093 is: 10,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.40 : 34,011.24 = 7,093 : x
  2. Step 2: Convert to fraction form
    22,677.40/34,011.24 = 7,093/x
  3. Step 3: Cross multiply
    22,677.40x = 34,011.24 × 7,093
  4. Step 4: Simplify right side
    22,677.40x = 241,241,725.32
  5. Step 5: Solve for x
    x = 241,241,725.32/22,677.40
  6. Step 6: Final answer
    x = 10,637.98

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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.