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Finding the Fourth Proportional to 22,382.95, 30,886.05 and 12,949.75

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Solution

The fourth proportional to 22,382.95, 30,886.05 and 12,949.75 is: 17,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.95 : 30,886.05 = 12,949.75 : x
  2. Step 2: Convert to fraction form
    22,382.95/30,886.05 = 12,949.75/x
  3. Step 3: Cross multiply
    22,382.95x = 30,886.05 × 12,949.75
  4. Step 4: Simplify right side
    22,382.95x = 399,966,625.99
  5. Step 5: Solve for x
    x = 399,966,625.99/22,382.95
  6. Step 6: Final answer
    x = 17,869.25

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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.