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Finding the Fourth Proportional to 26,539.95, 39,803.52 and 7,814.90

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Solution

The fourth proportional to 26,539.95, 39,803.52 and 7,814.90 is: 11,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,539.95 : 39,803.52 = 7,814.90 : x
  2. Step 2: Convert to fraction form
    26,539.95/39,803.52 = 7,814.90/x
  3. Step 3: Cross multiply
    26,539.95x = 39,803.52 × 7,814.90
  4. Step 4: Simplify right side
    26,539.95x = 311,060,329.43
  5. Step 5: Solve for x
    x = 311,060,329.43/26,539.95
  6. Step 6: Final answer
    x = 11,720.46

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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.