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Finding the Fourth Proportional to 15,601.72, 23,387.82 and 5,206

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Solution

The fourth proportional to 15,601.72, 23,387.82 and 5,206 is: 7,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601.72 : 23,387.82 = 5,206 : x
  2. Step 2: Convert to fraction form
    15,601.72/23,387.82 = 5,206/x
  3. Step 3: Cross multiply
    15,601.72x = 23,387.82 × 5,206
  4. Step 4: Simplify right side
    15,601.72x = 121,756,990.92
  5. Step 5: Solve for x
    x = 121,756,990.92/15,601.72
  6. Step 6: Final answer
    x = 7,804.07

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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.