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Finding the Fourth Proportional to 24,411.66, 36,603.81 and 7,768.62

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Solution

The fourth proportional to 24,411.66, 36,603.81 and 7,768.62 is: 11,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.66 : 36,603.81 = 7,768.62 : x
  2. Step 2: Convert to fraction form
    24,411.66/36,603.81 = 7,768.62/x
  3. Step 3: Cross multiply
    24,411.66x = 36,603.81 × 7,768.62
  4. Step 4: Simplify right side
    24,411.66x = 284,361,090.44
  5. Step 5: Solve for x
    x = 284,361,090.44/24,411.66
  6. Step 6: Final answer
    x = 11,648.58

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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.