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Finding the Fourth Proportional to 16,270.74, 24,415.38 and 7,505.70

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Solution

The fourth proportional to 16,270.74, 24,415.38 and 7,505.70 is: 11,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,270.74 : 24,415.38 = 7,505.70 : x
  2. Step 2: Convert to fraction form
    16,270.74/24,415.38 = 7,505.70/x
  3. Step 3: Cross multiply
    16,270.74x = 24,415.38 × 7,505.70
  4. Step 4: Simplify right side
    16,270.74x = 183,254,517.67
  5. Step 5: Solve for x
    x = 183,254,517.67/16,270.74
  6. Step 6: Final answer
    x = 11,262.83

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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.