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Finding the Fourth Proportional to 17,912.64, 24,718.92 and 9,954.66

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Solution

The fourth proportional to 17,912.64, 24,718.92 and 9,954.66 is: 13,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,912.64 : 24,718.92 = 9,954.66 : x
  2. Step 2: Convert to fraction form
    17,912.64/24,718.92 = 9,954.66/x
  3. Step 3: Cross multiply
    17,912.64x = 24,718.92 × 9,954.66
  4. Step 4: Simplify right side
    17,912.64x = 246,068,444.17
  5. Step 5: Solve for x
    x = 246,068,444.17/17,912.64
  6. Step 6: Final answer
    x = 13,737.14

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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.