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Finding the Fourth Proportional to 16,589.36, 22,891.61 and 10,214.93

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Solution

The fourth proportional to 16,589.36, 22,891.61 and 10,214.93 is: 14,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.36 : 22,891.61 = 10,214.93 : x
  2. Step 2: Convert to fraction form
    16,589.36/22,891.61 = 10,214.93/x
  3. Step 3: Cross multiply
    16,589.36x = 22,891.61 × 10,214.93
  4. Step 4: Simplify right side
    16,589.36x = 233,836,193.74
  5. Step 5: Solve for x
    x = 233,836,193.74/16,589.36
  6. Step 6: Final answer
    x = 14,095.55

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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.