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Finding the Fourth Proportional to 15,633.72, 23,439.64 and 7,838.28

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Solution

The fourth proportional to 15,633.72, 23,439.64 and 7,838.28 is: 11,751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.72 : 23,439.64 = 7,838.28 : x
  2. Step 2: Convert to fraction form
    15,633.72/23,439.64 = 7,838.28/x
  3. Step 3: Cross multiply
    15,633.72x = 23,439.64 × 7,838.28
  4. Step 4: Simplify right side
    15,633.72x = 183,726,461.42
  5. Step 5: Solve for x
    x = 183,726,461.42/15,633.72
  6. Step 6: Final answer
    x = 11,751.94

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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.