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Finding the Fourth Proportional to 24,284.88, 36,404.51 and 8,480.16

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Solution

The fourth proportional to 24,284.88, 36,404.51 and 8,480.16 is: 12,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.88 : 36,404.51 = 8,480.16 : x
  2. Step 2: Convert to fraction form
    24,284.88/36,404.51 = 8,480.16/x
  3. Step 3: Cross multiply
    24,284.88x = 36,404.51 × 8,480.16
  4. Step 4: Simplify right side
    24,284.88x = 308,716,027.12
  5. Step 5: Solve for x
    x = 308,716,027.12/24,284.88
  6. Step 6: Final answer
    x = 12,712.27

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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.