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Finding the Fourth Proportional to 22,504.14, 33,760.98 and 7,709.08

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Solution

The fourth proportional to 22,504.14, 33,760.98 and 7,709.08 is: 11,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.14 : 33,760.98 = 7,709.08 : x
  2. Step 2: Convert to fraction form
    22,504.14/33,760.98 = 7,709.08/x
  3. Step 3: Cross multiply
    22,504.14x = 33,760.98 × 7,709.08
  4. Step 4: Simplify right side
    22,504.14x = 260,266,095.70
  5. Step 5: Solve for x
    x = 260,266,095.70/22,504.14
  6. Step 6: Final answer
    x = 11,565.26

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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.