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Finding the Fourth Proportional to 26,533.32, 39,799.86 and 7,813.74

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Solution

The fourth proportional to 26,533.32, 39,799.86 and 7,813.74 is: 11,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,533.32 : 39,799.86 = 7,813.74 : x
  2. Step 2: Convert to fraction form
    26,533.32/39,799.86 = 7,813.74/x
  3. Step 3: Cross multiply
    26,533.32x = 39,799.86 × 7,813.74
  4. Step 4: Simplify right side
    26,533.32x = 310,985,758.08
  5. Step 5: Solve for x
    x = 310,985,758.08/26,533.32
  6. Step 6: Final answer
    x = 11,720.57

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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.