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Finding the Fourth Proportional to 15,910.81, 21,960.89 and 9,200.32

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Solution

The fourth proportional to 15,910.81, 21,960.89 and 9,200.32 is: 12,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,910.81 : 21,960.89 = 9,200.32 : x
  2. Step 2: Convert to fraction form
    15,910.81/21,960.89 = 9,200.32/x
  3. Step 3: Cross multiply
    15,910.81x = 21,960.89 × 9,200.32
  4. Step 4: Simplify right side
    15,910.81x = 202,047,215.48
  5. Step 5: Solve for x
    x = 202,047,215.48/15,910.81
  6. Step 6: Final answer
    x = 12,698.74

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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.