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Finding the Fourth Proportional to 23,857.70, 32,926.70 and 14,426.28

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Solution

The fourth proportional to 23,857.70, 32,926.70 and 14,426.28 is: 19,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.70 : 32,926.70 = 14,426.28 : x
  2. Step 2: Convert to fraction form
    23,857.70/32,926.70 = 14,426.28/x
  3. Step 3: Cross multiply
    23,857.70x = 32,926.70 × 14,426.28
  4. Step 4: Simplify right side
    23,857.70x = 475,009,793.68
  5. Step 5: Solve for x
    x = 475,009,793.68/23,857.70
  6. Step 6: Final answer
    x = 19,910.13

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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.