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Finding the Fourth Proportional to 24,041, 36,061.50 and 7,625

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Solution

The fourth proportional to 24,041, 36,061.50 and 7,625 is: 11,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,041 : 36,061.50 = 7,625 : x
  2. Step 2: Convert to fraction form
    24,041/36,061.50 = 7,625/x
  3. Step 3: Cross multiply
    24,041x = 36,061.50 × 7,625
  4. Step 4: Simplify right side
    24,041x = 274,968,937.50
  5. Step 5: Solve for x
    x = 274,968,937.50/24,041
  6. Step 6: Final answer
    x = 11,437.50

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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.