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Finding the Fourth Proportional to 16,070.70, 22,166.19 and 13,828.71

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Solution

The fourth proportional to 16,070.70, 22,166.19 and 13,828.71 is: 19,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.70 : 22,166.19 = 13,828.71 : x
  2. Step 2: Convert to fraction form
    16,070.70/22,166.19 = 13,828.71/x
  3. Step 3: Cross multiply
    16,070.70x = 22,166.19 × 13,828.71
  4. Step 4: Simplify right side
    16,070.70x = 306,529,813.31
  5. Step 5: Solve for x
    x = 306,529,813.31/16,070.70
  6. Step 6: Final answer
    x = 19,073.83

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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.