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Finding the Fourth Proportional to 13,574.72, 18,734.32 and 7,606.35

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Solution

The fourth proportional to 13,574.72, 18,734.32 and 7,606.35 is: 10,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.72 : 18,734.32 = 7,606.35 : x
  2. Step 2: Convert to fraction form
    13,574.72/18,734.32 = 7,606.35/x
  3. Step 3: Cross multiply
    13,574.72x = 18,734.32 × 7,606.35
  4. Step 4: Simplify right side
    13,574.72x = 142,499,794.93
  5. Step 5: Solve for x
    x = 142,499,794.93/13,574.72
  6. Step 6: Final answer
    x = 10,497.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.