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Finding the Fourth Proportional to 24,363.06, 36,541.50 and 7,723.25

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Solution

The fourth proportional to 24,363.06, 36,541.50 and 7,723.25 is: 11,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363.06 : 36,541.50 = 7,723.25 : x
  2. Step 2: Convert to fraction form
    24,363.06/36,541.50 = 7,723.25/x
  3. Step 3: Cross multiply
    24,363.06x = 36,541.50 × 7,723.25
  4. Step 4: Simplify right side
    24,363.06x = 282,219,233.17
  5. Step 5: Solve for x
    x = 282,219,233.17/24,363.06
  6. Step 6: Final answer
    x = 11,583.90

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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.