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Finding the Fourth Proportional to 22,678.26, 34,017.35 and 6,038.30

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Solution

The fourth proportional to 22,678.26, 34,017.35 and 6,038.30 is: 9,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.26 : 34,017.35 = 6,038.30 : x
  2. Step 2: Convert to fraction form
    22,678.26/34,017.35 = 6,038.30/x
  3. Step 3: Cross multiply
    22,678.26x = 34,017.35 × 6,038.30
  4. Step 4: Simplify right side
    22,678.26x = 205,406,764.23
  5. Step 5: Solve for x
    x = 205,406,764.23/22,678.26
  6. Step 6: Final answer
    x = 9,057.43

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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.