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Finding the Fourth Proportional to 22,532.85, 31,094.75 and 12,461.01

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Solution

The fourth proportional to 22,532.85, 31,094.75 and 12,461.01 is: 17,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.85 : 31,094.75 = 12,461.01 : x
  2. Step 2: Convert to fraction form
    22,532.85/31,094.75 = 12,461.01/x
  3. Step 3: Cross multiply
    22,532.85x = 31,094.75 × 12,461.01
  4. Step 4: Simplify right side
    22,532.85x = 387,471,928.39
  5. Step 5: Solve for x
    x = 387,471,928.39/22,532.85
  6. Step 6: Final answer
    x = 17,195.87

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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.