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Finding the Fourth Proportional to 14,316.39, 21,478.02 and 5,991.78

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Solution

The fourth proportional to 14,316.39, 21,478.02 and 5,991.78 is: 8,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316.39 : 21,478.02 = 5,991.78 : x
  2. Step 2: Convert to fraction form
    14,316.39/21,478.02 = 5,991.78/x
  3. Step 3: Cross multiply
    14,316.39x = 21,478.02 × 5,991.78
  4. Step 4: Simplify right side
    14,316.39x = 128,691,570.68
  5. Step 5: Solve for x
    x = 128,691,570.68/14,316.39
  6. Step 6: Final answer
    x = 8,989.11

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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.