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Finding the Fourth Proportional to 22,710.70, 34,070.91 and 9,569.26

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Solution

The fourth proportional to 22,710.70, 34,070.91 and 9,569.26 is: 14,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.70 : 34,070.91 = 9,569.26 : x
  2. Step 2: Convert to fraction form
    22,710.70/34,070.91 = 9,569.26/x
  3. Step 3: Cross multiply
    22,710.70x = 34,070.91 × 9,569.26
  4. Step 4: Simplify right side
    22,710.70x = 326,033,396.23
  5. Step 5: Solve for x
    x = 326,033,396.23/22,710.70
  6. Step 6: Final answer
    x = 14,355.94

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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.