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Finding the Fourth Proportional to 24,483.84, 36,728 and 7,844.32

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Solution

The fourth proportional to 24,483.84, 36,728 and 7,844.32 is: 11,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483.84 : 36,728 = 7,844.32 : x
  2. Step 2: Convert to fraction form
    24,483.84/36,728 = 7,844.32/x
  3. Step 3: Cross multiply
    24,483.84x = 36,728 × 7,844.32
  4. Step 4: Simplify right side
    24,483.84x = 288,106,184.96
  5. Step 5: Solve for x
    x = 288,106,184.96/24,483.84
  6. Step 6: Final answer
    x = 11,767.20

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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.