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Finding the Fourth Proportional to 15,507.74, 23,267.82 and 5,647.70

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Solution

The fourth proportional to 15,507.74, 23,267.82 and 5,647.70 is: 8,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.74 : 23,267.82 = 5,647.70 : x
  2. Step 2: Convert to fraction form
    15,507.74/23,267.82 = 5,647.70/x
  3. Step 3: Cross multiply
    15,507.74x = 23,267.82 × 5,647.70
  4. Step 4: Simplify right side
    15,507.74x = 131,409,667.01
  5. Step 5: Solve for x
    x = 131,409,667.01/15,507.74
  6. Step 6: Final answer
    x = 8,473.81

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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.