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Finding the Fourth Proportional to 22,532.14, 31,093.57 and 12,971.71

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Solution

The fourth proportional to 22,532.14, 31,093.57 and 12,971.71 is: 17,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.14 : 31,093.57 = 12,971.71 : x
  2. Step 2: Convert to fraction form
    22,532.14/31,093.57 = 12,971.71/x
  3. Step 3: Cross multiply
    22,532.14x = 31,093.57 × 12,971.71
  4. Step 4: Simplify right side
    22,532.14x = 403,336,827.99
  5. Step 5: Solve for x
    x = 403,336,827.99/22,532.14
  6. Step 6: Final answer
    x = 17,900.51

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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.