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Finding the Fourth Proportional to 16,165.19, 22,318.95 and 11,916.74

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Solution

The fourth proportional to 16,165.19, 22,318.95 and 11,916.74 is: 16,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.19 : 22,318.95 = 11,916.74 : x
  2. Step 2: Convert to fraction form
    16,165.19/22,318.95 = 11,916.74/x
  3. Step 3: Cross multiply
    16,165.19x = 22,318.95 × 11,916.74
  4. Step 4: Simplify right side
    16,165.19x = 265,969,124.22
  5. Step 5: Solve for x
    x = 265,969,124.22/16,165.19
  6. Step 6: Final answer
    x = 16,453.20

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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.