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Finding the Fourth Proportional to 16,006.41, 22,097.21 and 9,720.81

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Solution

The fourth proportional to 16,006.41, 22,097.21 and 9,720.81 is: 13,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.41 : 22,097.21 = 9,720.81 : x
  2. Step 2: Convert to fraction form
    16,006.41/22,097.21 = 9,720.81/x
  3. Step 3: Cross multiply
    16,006.41x = 22,097.21 × 9,720.81
  4. Step 4: Simplify right side
    16,006.41x = 214,802,731.34
  5. Step 5: Solve for x
    x = 214,802,731.34/16,006.41
  6. Step 6: Final answer
    x = 13,419.79

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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.