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Finding the Fourth Proportional to 16,141.41, 22,272.84 and 8,970.84

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Solution

The fourth proportional to 16,141.41, 22,272.84 and 8,970.84 is: 12,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.41 : 22,272.84 = 8,970.84 : x
  2. Step 2: Convert to fraction form
    16,141.41/22,272.84 = 8,970.84/x
  3. Step 3: Cross multiply
    16,141.41x = 22,272.84 × 8,970.84
  4. Step 4: Simplify right side
    16,141.41x = 199,806,083.99
  5. Step 5: Solve for x
    x = 199,806,083.99/16,141.41
  6. Step 6: Final answer
    x = 12,378.48

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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.