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Finding the Fourth Proportional to 26,416.92, 36,455.76 and 15,807

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Solution

The fourth proportional to 26,416.92, 36,455.76 and 15,807 is: 21,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.92 : 36,455.76 = 15,807 : x
  2. Step 2: Convert to fraction form
    26,416.92/36,455.76 = 15,807/x
  3. Step 3: Cross multiply
    26,416.92x = 36,455.76 × 15,807
  4. Step 4: Simplify right side
    26,416.92x = 576,256,198.32
  5. Step 5: Solve for x
    x = 576,256,198.32/26,416.92
  6. Step 6: Final answer
    x = 21,813.91

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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.