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Finding the Fourth Proportional to 14,382.83, 21,545.08 and 7,442.75

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Solution

The fourth proportional to 14,382.83, 21,545.08 and 7,442.75 is: 11,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.83 : 21,545.08 = 7,442.75 : x
  2. Step 2: Convert to fraction form
    14,382.83/21,545.08 = 7,442.75/x
  3. Step 3: Cross multiply
    14,382.83x = 21,545.08 × 7,442.75
  4. Step 4: Simplify right side
    14,382.83x = 160,354,644.17
  5. Step 5: Solve for x
    x = 160,354,644.17/14,382.83
  6. Step 6: Final answer
    x = 11,149.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.