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Finding the Fourth Proportional to 16,426.76, 22,669.62 and 8,975.24

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Solution

The fourth proportional to 16,426.76, 22,669.62 and 8,975.24 is: 12,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.76 : 22,669.62 = 8,975.24 : x
  2. Step 2: Convert to fraction form
    16,426.76/22,669.62 = 8,975.24/x
  3. Step 3: Cross multiply
    16,426.76x = 22,669.62 × 8,975.24
  4. Step 4: Simplify right side
    16,426.76x = 203,465,280.21
  5. Step 5: Solve for x
    x = 203,465,280.21/16,426.76
  6. Step 6: Final answer
    x = 12,386.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.