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Finding the Fourth Proportional to 22,842.12, 34,266.87 and 7,043.46

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Solution

The fourth proportional to 22,842.12, 34,266.87 and 7,043.46 is: 10,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.12 : 34,266.87 = 7,043.46 : x
  2. Step 2: Convert to fraction form
    22,842.12/34,266.87 = 7,043.46/x
  3. Step 3: Cross multiply
    22,842.12x = 34,266.87 × 7,043.46
  4. Step 4: Simplify right side
    22,842.12x = 241,357,328.17
  5. Step 5: Solve for x
    x = 241,357,328.17/22,842.12
  6. Step 6: Final answer
    x = 10,566.33

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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.