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Finding the Fourth Proportional to 22,937.94, 31,640.94 and 14,426.64

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Solution

The fourth proportional to 22,937.94, 31,640.94 and 14,426.64 is: 19,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.94 : 31,640.94 = 14,426.64 : x
  2. Step 2: Convert to fraction form
    22,937.94/31,640.94 = 14,426.64/x
  3. Step 3: Cross multiply
    22,937.94x = 31,640.94 × 14,426.64
  4. Step 4: Simplify right side
    22,937.94x = 456,472,450.64
  5. Step 5: Solve for x
    x = 456,472,450.64/22,937.94
  6. Step 6: Final answer
    x = 19,900.32

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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.