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Finding the Fourth Proportional to 22,698.42, 34,047.64 and 7,117.26

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Solution

The fourth proportional to 22,698.42, 34,047.64 and 7,117.26 is: 10,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698.42 : 34,047.64 = 7,117.26 : x
  2. Step 2: Convert to fraction form
    22,698.42/34,047.64 = 7,117.26/x
  3. Step 3: Cross multiply
    22,698.42x = 34,047.64 × 7,117.26
  4. Step 4: Simplify right side
    22,698.42x = 242,325,906.27
  5. Step 5: Solve for x
    x = 242,325,906.27/22,698.42
  6. Step 6: Final answer
    x = 10,675.89

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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.