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Finding the Fourth Proportional to 22,737.06, 31,374.06 and 12,664.20

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Solution

The fourth proportional to 22,737.06, 31,374.06 and 12,664.20 is: 17,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.06 : 31,374.06 = 12,664.20 : x
  2. Step 2: Convert to fraction form
    22,737.06/31,374.06 = 12,664.20/x
  3. Step 3: Cross multiply
    22,737.06x = 31,374.06 × 12,664.20
  4. Step 4: Simplify right side
    22,737.06x = 397,327,370.65
  5. Step 5: Solve for x
    x = 397,327,370.65/22,737.06
  6. Step 6: Final answer
    x = 17,474.88

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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.