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Finding the Fourth Proportional to 14,145.64, 21,269.22 and 7,584.28

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Solution

The fourth proportional to 14,145.64, 21,269.22 and 7,584.28 is: 11,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.64 : 21,269.22 = 7,584.28 : x
  2. Step 2: Convert to fraction form
    14,145.64/21,269.22 = 7,584.28/x
  3. Step 3: Cross multiply
    14,145.64x = 21,269.22 × 7,584.28
  4. Step 4: Simplify right side
    14,145.64x = 161,311,719.86
  5. Step 5: Solve for x
    x = 161,311,719.86/14,145.64
  6. Step 6: Final answer
    x = 11,403.64

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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.