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Finding the Fourth Proportional to 19,922.38, 27,492.51 and 10,969.68

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Solution

The fourth proportional to 19,922.38, 27,492.51 and 10,969.68 is: 15,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.38 : 27,492.51 = 10,969.68 : x
  2. Step 2: Convert to fraction form
    19,922.38/27,492.51 = 10,969.68/x
  3. Step 3: Cross multiply
    19,922.38x = 27,492.51 × 10,969.68
  4. Step 4: Simplify right side
    19,922.38x = 301,584,037.10
  5. Step 5: Solve for x
    x = 301,584,037.10/19,922.38
  6. Step 6: Final answer
    x = 15,137.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.