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Finding the Fourth Proportional to 22,927.76, 34,423.50 and 11,842.64

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Solution

The fourth proportional to 22,927.76, 34,423.50 and 11,842.64 is: 17,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.76 : 34,423.50 = 11,842.64 : x
  2. Step 2: Convert to fraction form
    22,927.76/34,423.50 = 11,842.64/x
  3. Step 3: Cross multiply
    22,927.76x = 34,423.50 × 11,842.64
  4. Step 4: Simplify right side
    22,927.76x = 407,665,118.04
  5. Step 5: Solve for x
    x = 407,665,118.04/22,927.76
  6. Step 6: Final answer
    x = 17,780.42

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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.