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Finding the Fourth Proportional to 22,491.06, 31,037.04 and 12,419.31

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Solution

The fourth proportional to 22,491.06, 31,037.04 and 12,419.31 is: 17,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.06 : 31,037.04 = 12,419.31 : x
  2. Step 2: Convert to fraction form
    22,491.06/31,037.04 = 12,419.31/x
  3. Step 3: Cross multiply
    22,491.06x = 31,037.04 × 12,419.31
  4. Step 4: Simplify right side
    22,491.06x = 385,458,621.24
  5. Step 5: Solve for x
    x = 385,458,621.24/22,491.06
  6. Step 6: Final answer
    x = 17,138.30

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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.