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Finding the Fourth Proportional to 26,543.04, 39,820.50 and 7,822.86

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Solution

The fourth proportional to 26,543.04, 39,820.50 and 7,822.86 is: 11,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,543.04 : 39,820.50 = 7,822.86 : x
  2. Step 2: Convert to fraction form
    26,543.04/39,820.50 = 7,822.86/x
  3. Step 3: Cross multiply
    26,543.04x = 39,820.50 × 7,822.86
  4. Step 4: Simplify right side
    26,543.04x = 311,510,196.63
  5. Step 5: Solve for x
    x = 311,510,196.63/26,543.04
  6. Step 6: Final answer
    x = 11,736.04

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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.