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Finding the Fourth Proportional to 24,100.98, 36,156.54 and 8,307.48

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Solution

The fourth proportional to 24,100.98, 36,156.54 and 8,307.48 is: 12,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.98 : 36,156.54 = 8,307.48 : x
  2. Step 2: Convert to fraction form
    24,100.98/36,156.54 = 8,307.48/x
  3. Step 3: Cross multiply
    24,100.98x = 36,156.54 × 8,307.48
  4. Step 4: Simplify right side
    24,100.98x = 300,369,732.92
  5. Step 5: Solve for x
    x = 300,369,732.92/24,100.98
  6. Step 6: Final answer
    x = 12,462.97

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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.