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Finding the Fourth Proportional to 22,474.70, 31,015.08 and 12,403.14

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Solution

The fourth proportional to 22,474.70, 31,015.08 and 12,403.14 is: 17,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.70 : 31,015.08 = 12,403.14 : x
  2. Step 2: Convert to fraction form
    22,474.70/31,015.08 = 12,403.14/x
  3. Step 3: Cross multiply
    22,474.70x = 31,015.08 × 12,403.14
  4. Step 4: Simplify right side
    22,474.70x = 384,684,379.35
  5. Step 5: Solve for x
    x = 384,684,379.35/22,474.70
  6. Step 6: Final answer
    x = 17,116.33

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1.5x scale

Why These Related Problems?

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