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Finding the Fourth Proportional to 24,782.12, 34,198.98 and 15,353

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Solution

The fourth proportional to 24,782.12, 34,198.98 and 15,353 is: 21,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.12 : 34,198.98 = 15,353 : x
  2. Step 2: Convert to fraction form
    24,782.12/34,198.98 = 15,353/x
  3. Step 3: Cross multiply
    24,782.12x = 34,198.98 × 15,353
  4. Step 4: Simplify right side
    24,782.12x = 525,056,939.94
  5. Step 5: Solve for x
    x = 525,056,939.94/24,782.12
  6. Step 6: Final answer
    x = 21,186.93

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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.