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Finding the Fourth Proportional to 17,778.88, 24,534.12 and 10,224.64

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Solution

The fourth proportional to 17,778.88, 24,534.12 and 10,224.64 is: 14,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.88 : 24,534.12 = 10,224.64 : x
  2. Step 2: Convert to fraction form
    17,778.88/24,534.12 = 10,224.64/x
  3. Step 3: Cross multiply
    17,778.88x = 24,534.12 × 10,224.64
  4. Step 4: Simplify right side
    17,778.88x = 250,852,544.72
  5. Step 5: Solve for x
    x = 250,852,544.72/17,778.88
  6. Step 6: Final answer
    x = 14,109.58

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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.