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Finding the Fourth Proportional to 14,829.27, 22,243.92 and 5,465.22

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Solution

The fourth proportional to 14,829.27, 22,243.92 and 5,465.22 is: 8,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.27 : 22,243.92 = 5,465.22 : x
  2. Step 2: Convert to fraction form
    14,829.27/22,243.92 = 5,465.22/x
  3. Step 3: Cross multiply
    14,829.27x = 22,243.92 × 5,465.22
  4. Step 4: Simplify right side
    14,829.27x = 121,567,916.46
  5. Step 5: Solve for x
    x = 121,567,916.46/14,829.27
  6. Step 6: Final answer
    x = 8,197.84

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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.