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Finding the Fourth Proportional to 15,838.38, 23,738.94 and 6,472.62

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Solution

The fourth proportional to 15,838.38, 23,738.94 and 6,472.62 is: 9,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.38 : 23,738.94 = 6,472.62 : x
  2. Step 2: Convert to fraction form
    15,838.38/23,738.94 = 6,472.62/x
  3. Step 3: Cross multiply
    15,838.38x = 23,738.94 × 6,472.62
  4. Step 4: Simplify right side
    15,838.38x = 153,653,137.82
  5. Step 5: Solve for x
    x = 153,653,137.82/15,838.38
  6. Step 6: Final answer
    x = 9,701.32

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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.