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Finding the Fourth Proportional to 15,501.64, 23,221.32 and 7,169.98

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Solution

The fourth proportional to 15,501.64, 23,221.32 and 7,169.98 is: 10,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,501.64 : 23,221.32 = 7,169.98 : x
  2. Step 2: Convert to fraction form
    15,501.64/23,221.32 = 7,169.98/x
  3. Step 3: Cross multiply
    15,501.64x = 23,221.32 × 7,169.98
  4. Step 4: Simplify right side
    15,501.64x = 166,496,399.97
  5. Step 5: Solve for x
    x = 166,496,399.97/15,501.64
  6. Step 6: Final answer
    x = 10,740.57

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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.