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Finding the Fourth Proportional to 22,678.42, 34,010.06 and 9,528.34

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Solution

The fourth proportional to 22,678.42, 34,010.06 and 9,528.34 is: 14,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.42 : 34,010.06 = 9,528.34 : x
  2. Step 2: Convert to fraction form
    22,678.42/34,010.06 = 9,528.34/x
  3. Step 3: Cross multiply
    22,678.42x = 34,010.06 × 9,528.34
  4. Step 4: Simplify right side
    22,678.42x = 324,059,415.10
  5. Step 5: Solve for x
    x = 324,059,415.10/22,678.42
  6. Step 6: Final answer
    x = 14,289.33

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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.