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Finding the Fourth Proportional to 14,452.64, 21,673.52 and 5,682.76

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Solution

The fourth proportional to 14,452.64, 21,673.52 and 5,682.76 is: 8,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.64 : 21,673.52 = 5,682.76 : x
  2. Step 2: Convert to fraction form
    14,452.64/21,673.52 = 5,682.76/x
  3. Step 3: Cross multiply
    14,452.64x = 21,673.52 × 5,682.76
  4. Step 4: Simplify right side
    14,452.64x = 123,165,412.52
  5. Step 5: Solve for x
    x = 123,165,412.52/14,452.64
  6. Step 6: Final answer
    x = 8,522.00

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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.