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Finding the Fourth Proportional to 14,725.68, 22,065.84 and 9,164.22

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Solution

The fourth proportional to 14,725.68, 22,065.84 and 9,164.22 is: 13,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,725.68 : 22,065.84 = 9,164.22 : x
  2. Step 2: Convert to fraction form
    14,725.68/22,065.84 = 9,164.22/x
  3. Step 3: Cross multiply
    14,725.68x = 22,065.84 × 9,164.22
  4. Step 4: Simplify right side
    14,725.68x = 202,216,212.24
  5. Step 5: Solve for x
    x = 202,216,212.24/14,725.68
  6. Step 6: Final answer
    x = 13,732.22

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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.