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Finding the Fourth Proportional to 22,504.53, 31,057.66 and 12,947.01

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Solution

The fourth proportional to 22,504.53, 31,057.66 and 12,947.01 is: 17,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.53 : 31,057.66 = 12,947.01 : x
  2. Step 2: Convert to fraction form
    22,504.53/31,057.66 = 12,947.01/x
  3. Step 3: Cross multiply
    22,504.53x = 31,057.66 × 12,947.01
  4. Step 4: Simplify right side
    22,504.53x = 402,103,734.31
  5. Step 5: Solve for x
    x = 402,103,734.31/22,504.53
  6. Step 6: Final answer
    x = 17,867.68

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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.