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Finding the Fourth Proportional to 21,878.28, 32,813.82 and 7,097.76

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Solution

The fourth proportional to 21,878.28, 32,813.82 and 7,097.76 is: 10,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.28 : 32,813.82 = 7,097.76 : x
  2. Step 2: Convert to fraction form
    21,878.28/32,813.82 = 7,097.76/x
  3. Step 3: Cross multiply
    21,878.28x = 32,813.82 × 7,097.76
  4. Step 4: Simplify right side
    21,878.28x = 232,904,619.04
  5. Step 5: Solve for x
    x = 232,904,619.04/21,878.28
  6. Step 6: Final answer
    x = 10,645.47

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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.