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Finding the Fourth Proportional to 23,815.69, 32,866.46 and 15,446.77

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Solution

The fourth proportional to 23,815.69, 32,866.46 and 15,446.77 is: 21,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.69 : 32,866.46 = 15,446.77 : x
  2. Step 2: Convert to fraction form
    23,815.69/32,866.46 = 15,446.77/x
  3. Step 3: Cross multiply
    23,815.69x = 32,866.46 × 15,446.77
  4. Step 4: Simplify right side
    23,815.69x = 507,680,546.86
  5. Step 5: Solve for x
    x = 507,680,546.86/23,815.69
  6. Step 6: Final answer
    x = 21,317.06

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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.