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Finding the Fourth Proportional to 16,141.82, 22,275 and 9,769.95

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Solution

The fourth proportional to 16,141.82, 22,275 and 9,769.95 is: 13,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.82 : 22,275 = 9,769.95 : x
  2. Step 2: Convert to fraction form
    16,141.82/22,275 = 9,769.95/x
  3. Step 3: Cross multiply
    16,141.82x = 22,275 × 9,769.95
  4. Step 4: Simplify right side
    16,141.82x = 217,625,636.25
  5. Step 5: Solve for x
    x = 217,625,636.25/16,141.82
  6. Step 6: Final answer
    x = 13,482.10

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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.