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Finding the Fourth Proportional to 22,723.71, 34,083.18 and 6,085.46

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Solution

The fourth proportional to 22,723.71, 34,083.18 and 6,085.46 is: 9,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723.71 : 34,083.18 = 6,085.46 : x
  2. Step 2: Convert to fraction form
    22,723.71/34,083.18 = 6,085.46/x
  3. Step 3: Cross multiply
    22,723.71x = 34,083.18 × 6,085.46
  4. Step 4: Simplify right side
    22,723.71x = 207,411,658.15
  5. Step 5: Solve for x
    x = 207,411,658.15/22,723.71
  6. Step 6: Final answer
    x = 9,127.54

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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.