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Finding the Fourth Proportional to 22,810.53, 31,478.22 and 12,739.15

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Solution

The fourth proportional to 22,810.53, 31,478.22 and 12,739.15 is: 17,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.53 : 31,478.22 = 12,739.15 : x
  2. Step 2: Convert to fraction form
    22,810.53/31,478.22 = 12,739.15/x
  3. Step 3: Cross multiply
    22,810.53x = 31,478.22 × 12,739.15
  4. Step 4: Simplify right side
    22,810.53x = 401,005,687.62
  5. Step 5: Solve for x
    x = 401,005,687.62/22,810.53
  6. Step 6: Final answer
    x = 17,579.85

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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.