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Finding the Fourth Proportional to 22,810.63, 31,474.83 and 12,738.70

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Solution

The fourth proportional to 22,810.63, 31,474.83 and 12,738.70 is: 17,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.63 : 31,474.83 = 12,738.70 : x
  2. Step 2: Convert to fraction form
    22,810.63/31,474.83 = 12,738.70/x
  3. Step 3: Cross multiply
    22,810.63x = 31,474.83 × 12,738.70
  4. Step 4: Simplify right side
    22,810.63x = 400,948,416.92
  5. Step 5: Solve for x
    x = 400,948,416.92/22,810.63
  6. Step 6: Final answer
    x = 17,577.26

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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.