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Finding the Fourth Proportional to 20,828.84, 31,256.22 and 9,151.88

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Solution

The fourth proportional to 20,828.84, 31,256.22 and 9,151.88 is: 13,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.84 : 31,256.22 = 9,151.88 : x
  2. Step 2: Convert to fraction form
    20,828.84/31,256.22 = 9,151.88/x
  3. Step 3: Cross multiply
    20,828.84x = 31,256.22 × 9,151.88
  4. Step 4: Simplify right side
    20,828.84x = 286,053,174.69
  5. Step 5: Solve for x
    x = 286,053,174.69/20,828.84
  6. Step 6: Final answer
    x = 13,733.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.