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Finding the Fourth Proportional to 22,941.69, 34,405.92 and 6,302.27

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Solution

The fourth proportional to 22,941.69, 34,405.92 and 6,302.27 is: 9,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941.69 : 34,405.92 = 6,302.27 : x
  2. Step 2: Convert to fraction form
    22,941.69/34,405.92 = 6,302.27/x
  3. Step 3: Cross multiply
    22,941.69x = 34,405.92 × 6,302.27
  4. Step 4: Simplify right side
    22,941.69x = 216,835,225.41
  5. Step 5: Solve for x
    x = 216,835,225.41/22,941.69
  6. Step 6: Final answer
    x = 9,451.58

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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.