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Finding the Fourth Proportional to 12,474.16, 18,712.03 and 5,074.57

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Solution

The fourth proportional to 12,474.16, 18,712.03 and 5,074.57 is: 7,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.16 : 18,712.03 = 5,074.57 : x
  2. Step 2: Convert to fraction form
    12,474.16/18,712.03 = 5,074.57/x
  3. Step 3: Cross multiply
    12,474.16x = 18,712.03 × 5,074.57
  4. Step 4: Simplify right side
    12,474.16x = 94,955,506.08
  5. Step 5: Solve for x
    x = 94,955,506.08/12,474.16
  6. Step 6: Final answer
    x = 7,612.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.