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Finding the Fourth Proportional to 16,089.19, 22,195.41 and 9,716.02

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Solution

The fourth proportional to 16,089.19, 22,195.41 and 9,716.02 is: 13,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.19 : 22,195.41 = 9,716.02 : x
  2. Step 2: Convert to fraction form
    16,089.19/22,195.41 = 9,716.02/x
  3. Step 3: Cross multiply
    16,089.19x = 22,195.41 × 9,716.02
  4. Step 4: Simplify right side
    16,089.19x = 215,651,047.47
  5. Step 5: Solve for x
    x = 215,651,047.47/16,089.19
  6. Step 6: Final answer
    x = 13,403.47

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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.