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Finding the Fourth Proportional to 21,392.96, 32,097.08 and 9,545.68

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Solution

The fourth proportional to 21,392.96, 32,097.08 and 9,545.68 is: 14,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.96 : 32,097.08 = 9,545.68 : x
  2. Step 2: Convert to fraction form
    21,392.96/32,097.08 = 9,545.68/x
  3. Step 3: Cross multiply
    21,392.96x = 32,097.08 × 9,545.68
  4. Step 4: Simplify right side
    21,392.96x = 306,388,398.24
  5. Step 5: Solve for x
    x = 306,388,398.24/21,392.96
  6. Step 6: Final answer
    x = 14,321.93

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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.