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Finding the Fourth Proportional to 26,500.76, 36,571.25 and 14,564.30

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Solution

The fourth proportional to 26,500.76, 36,571.25 and 14,564.30 is: 20,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500.76 : 36,571.25 = 14,564.30 : x
  2. Step 2: Convert to fraction form
    26,500.76/36,571.25 = 14,564.30/x
  3. Step 3: Cross multiply
    26,500.76x = 36,571.25 × 14,564.30
  4. Step 4: Simplify right side
    26,500.76x = 532,634,400.70
  5. Step 5: Solve for x
    x = 532,634,400.70/26,500.76
  6. Step 6: Final answer
    x = 20,098.84

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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.