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Finding the Fourth Proportional to 16,422.75, 22,663.40 and 10,140.39

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Solution

The fourth proportional to 16,422.75, 22,663.40 and 10,140.39 is: 13,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.75 : 22,663.40 = 10,140.39 : x
  2. Step 2: Convert to fraction form
    16,422.75/22,663.40 = 10,140.39/x
  3. Step 3: Cross multiply
    16,422.75x = 22,663.40 × 10,140.39
  4. Step 4: Simplify right side
    16,422.75x = 229,815,664.02
  5. Step 5: Solve for x
    x = 229,815,664.02/16,422.75
  6. Step 6: Final answer
    x = 13,993.74

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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.