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Finding the Fourth Proportional to 14,452.80, 21,656.16 and 9,254.40

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Solution

The fourth proportional to 14,452.80, 21,656.16 and 9,254.40 is: 13,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.80 : 21,656.16 = 9,254.40 : x
  2. Step 2: Convert to fraction form
    14,452.80/21,656.16 = 9,254.40/x
  3. Step 3: Cross multiply
    14,452.80x = 21,656.16 × 9,254.40
  4. Step 4: Simplify right side
    14,452.80x = 200,414,767.10
  5. Step 5: Solve for x
    x = 200,414,767.10/14,452.80
  6. Step 6: Final answer
    x = 13,866.85

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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.