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Finding the Fourth Proportional to 14,665.68, 21,982.32 and 5,774.40

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Solution

The fourth proportional to 14,665.68, 21,982.32 and 5,774.40 is: 8,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.68 : 21,982.32 = 5,774.40 : x
  2. Step 2: Convert to fraction form
    14,665.68/21,982.32 = 5,774.40/x
  3. Step 3: Cross multiply
    14,665.68x = 21,982.32 × 5,774.40
  4. Step 4: Simplify right side
    14,665.68x = 126,934,708.61
  5. Step 5: Solve for x
    x = 126,934,708.61/14,665.68
  6. Step 6: Final answer
    x = 8,655.22

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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.