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Finding the Fourth Proportional to 22,532.80, 31,096.08 and 12,461.68

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Solution

The fourth proportional to 22,532.80, 31,096.08 and 12,461.68 is: 17,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.80 : 31,096.08 = 12,461.68 : x
  2. Step 2: Convert to fraction form
    22,532.80/31,096.08 = 12,461.68/x
  3. Step 3: Cross multiply
    22,532.80x = 31,096.08 × 12,461.68
  4. Step 4: Simplify right side
    22,532.80x = 387,509,398.21
  5. Step 5: Solve for x
    x = 387,509,398.21/22,532.80
  6. Step 6: Final answer
    x = 17,197.57

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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.