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Finding the Fourth Proportional to 16,544.25, 22,826.21 and 9,826.52

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Solution

The fourth proportional to 16,544.25, 22,826.21 and 9,826.52 is: 13,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.25 : 22,826.21 = 9,826.52 : x
  2. Step 2: Convert to fraction form
    16,544.25/22,826.21 = 9,826.52/x
  3. Step 3: Cross multiply
    16,544.25x = 22,826.21 × 9,826.52
  4. Step 4: Simplify right side
    16,544.25x = 224,302,045.83
  5. Step 5: Solve for x
    x = 224,302,045.83/16,544.25
  6. Step 6: Final answer
    x = 13,557.70

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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.