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Finding the Fourth Proportional to 16,545.25, 22,827.58 and 9,827.52

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Solution

The fourth proportional to 16,545.25, 22,827.58 and 9,827.52 is: 13,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.25 : 22,827.58 = 9,827.52 : x
  2. Step 2: Convert to fraction form
    16,545.25/22,827.58 = 9,827.52/x
  3. Step 3: Cross multiply
    16,545.25x = 22,827.58 × 9,827.52
  4. Step 4: Simplify right side
    16,545.25x = 224,338,499.00
  5. Step 5: Solve for x
    x = 224,338,499.00/16,545.25
  6. Step 6: Final answer
    x = 13,559.09

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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.