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Finding the Fourth Proportional to 24,774.64, 34,188.82 and 13,443.84

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Solution

The fourth proportional to 24,774.64, 34,188.82 and 13,443.84 is: 18,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.64 : 34,188.82 = 13,443.84 : x
  2. Step 2: Convert to fraction form
    24,774.64/34,188.82 = 13,443.84/x
  3. Step 3: Cross multiply
    24,774.64x = 34,188.82 × 13,443.84
  4. Step 4: Simplify right side
    24,774.64x = 459,629,025.87
  5. Step 5: Solve for x
    x = 459,629,025.87/24,774.64
  6. Step 6: Final answer
    x = 18,552.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.