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Finding the Fourth Proportional to 21,412.77, 32,097.08 and 8,940.05

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Solution

The fourth proportional to 21,412.77, 32,097.08 and 8,940.05 is: 13,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.77 : 32,097.08 = 8,940.05 : x
  2. Step 2: Convert to fraction form
    21,412.77/32,097.08 = 8,940.05/x
  3. Step 3: Cross multiply
    21,412.77x = 32,097.08 × 8,940.05
  4. Step 4: Simplify right side
    21,412.77x = 286,949,500.05
  5. Step 5: Solve for x
    x = 286,949,500.05/21,412.77
  6. Step 6: Final answer
    x = 13,400.86

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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.