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Finding the Fourth Proportional to 16,264.71, 22,444.72 and 9,190.98

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Solution

The fourth proportional to 16,264.71, 22,444.72 and 9,190.98 is: 12,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.71 : 22,444.72 = 9,190.98 : x
  2. Step 2: Convert to fraction form
    16,264.71/22,444.72 = 9,190.98/x
  3. Step 3: Cross multiply
    16,264.71x = 22,444.72 × 9,190.98
  4. Step 4: Simplify right side
    16,264.71x = 206,288,949.65
  5. Step 5: Solve for x
    x = 206,288,949.65/16,264.71
  6. Step 6: Final answer
    x = 12,683.22

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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.