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Finding the Fourth Proportional to 22,563.46, 31,104.96 and 15,828.19

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Solution

The fourth proportional to 22,563.46, 31,104.96 and 15,828.19 is: 21,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.46 : 31,104.96 = 15,828.19 : x
  2. Step 2: Convert to fraction form
    22,563.46/31,104.96 = 15,828.19/x
  3. Step 3: Cross multiply
    22,563.46x = 31,104.96 × 15,828.19
  4. Step 4: Simplify right side
    22,563.46x = 492,335,216.82
  5. Step 5: Solve for x
    x = 492,335,216.82/22,563.46
  6. Step 6: Final answer
    x = 21,820.02

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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.