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Finding the Fourth Proportional to 26,543.32, 39,814.86 and 7,823.76

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Solution

The fourth proportional to 26,543.32, 39,814.86 and 7,823.76 is: 11,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,543.32 : 39,814.86 = 7,823.76 : x
  2. Step 2: Convert to fraction form
    26,543.32/39,814.86 = 7,823.76/x
  3. Step 3: Cross multiply
    26,543.32x = 39,814.86 × 7,823.76
  4. Step 4: Simplify right side
    26,543.32x = 311,501,909.07
  5. Step 5: Solve for x
    x = 311,501,909.07/26,543.32
  6. Step 6: Final answer
    x = 11,735.60

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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.