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Finding the Fourth Proportional to 24,484.02, 36,728.79 and 7,838.22

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Solution

The fourth proportional to 24,484.02, 36,728.79 and 7,838.22 is: 11,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484.02 : 36,728.79 = 7,838.22 : x
  2. Step 2: Convert to fraction form
    24,484.02/36,728.79 = 7,838.22/x
  3. Step 3: Cross multiply
    24,484.02x = 36,728.79 × 7,838.22
  4. Step 4: Simplify right side
    24,484.02x = 287,888,282.18
  5. Step 5: Solve for x
    x = 287,888,282.18/24,484.02
  6. Step 6: Final answer
    x = 11,758.21

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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.