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Finding the Fourth Proportional to 22,459.50, 30,996.15 and 13,506.78

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Solution

The fourth proportional to 22,459.50, 30,996.15 and 13,506.78 is: 18,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.50 : 30,996.15 = 13,506.78 : x
  2. Step 2: Convert to fraction form
    22,459.50/30,996.15 = 13,506.78/x
  3. Step 3: Cross multiply
    22,459.50x = 30,996.15 × 13,506.78
  4. Step 4: Simplify right side
    22,459.50x = 418,658,178.90
  5. Step 5: Solve for x
    x = 418,658,178.90/22,459.50
  6. Step 6: Final answer
    x = 18,640.58

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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.