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Finding the Fourth Proportional to 15,509.74, 23,270.83 and 5,649.70

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Solution

The fourth proportional to 15,509.74, 23,270.83 and 5,649.70 is: 8,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.74 : 23,270.83 = 5,649.70 : x
  2. Step 2: Convert to fraction form
    15,509.74/23,270.83 = 5,649.70/x
  3. Step 3: Cross multiply
    15,509.74x = 23,270.83 × 5,649.70
  4. Step 4: Simplify right side
    15,509.74x = 131,473,208.25
  5. Step 5: Solve for x
    x = 131,473,208.25/15,509.74
  6. Step 6: Final answer
    x = 8,476.82

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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.