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Finding the Fourth Proportional to 14,405.32, 21,614.96 and 6,513.29

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Solution

The fourth proportional to 14,405.32, 21,614.96 and 6,513.29 is: 9,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.32 : 21,614.96 = 6,513.29 : x
  2. Step 2: Convert to fraction form
    14,405.32/21,614.96 = 6,513.29/x
  3. Step 3: Cross multiply
    14,405.32x = 21,614.96 × 6,513.29
  4. Step 4: Simplify right side
    14,405.32x = 140,784,394.74
  5. Step 5: Solve for x
    x = 140,784,394.74/14,405.32
  6. Step 6: Final answer
    x = 9,773.09

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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.