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Finding the Fourth Proportional to 14,542.66, 21,825.02 and 10,657.22

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Solution

The fourth proportional to 14,542.66, 21,825.02 and 10,657.22 is: 15,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.66 : 21,825.02 = 10,657.22 : x
  2. Step 2: Convert to fraction form
    14,542.66/21,825.02 = 10,657.22/x
  3. Step 3: Cross multiply
    14,542.66x = 21,825.02 × 10,657.22
  4. Step 4: Simplify right side
    14,542.66x = 232,594,039.64
  5. Step 5: Solve for x
    x = 232,594,039.64/14,542.66
  6. Step 6: Final answer
    x = 15,993.91

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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.