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Finding the Fourth Proportional to 21,678.52, 32,519.04 and 6,097.36

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Solution

The fourth proportional to 21,678.52, 32,519.04 and 6,097.36 is: 9,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.52 : 32,519.04 = 6,097.36 : x
  2. Step 2: Convert to fraction form
    21,678.52/32,519.04 = 6,097.36/x
  3. Step 3: Cross multiply
    21,678.52x = 32,519.04 × 6,097.36
  4. Step 4: Simplify right side
    21,678.52x = 198,280,293.73
  5. Step 5: Solve for x
    x = 198,280,293.73/21,678.52
  6. Step 6: Final answer
    x = 9,146.39

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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.