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Finding the Fourth Proportional to 14,513.86, 21,772.68 and 4,125.88

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Solution

The fourth proportional to 14,513.86, 21,772.68 and 4,125.88 is: 6,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.86 : 21,772.68 = 4,125.88 : x
  2. Step 2: Convert to fraction form
    14,513.86/21,772.68 = 4,125.88/x
  3. Step 3: Cross multiply
    14,513.86x = 21,772.68 × 4,125.88
  4. Step 4: Simplify right side
    14,513.86x = 89,831,464.96
  5. Step 5: Solve for x
    x = 89,831,464.96/14,513.86
  6. Step 6: Final answer
    x = 6,189.36

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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.