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Finding the Fourth Proportional to 23,588.28, 35,378.40 and 22,287

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Solution

The fourth proportional to 23,588.28, 35,378.40 and 22,287 is: 33,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,588.28 : 35,378.40 = 22,287 : x
  2. Step 2: Convert to fraction form
    23,588.28/35,378.40 = 22,287/x
  3. Step 3: Cross multiply
    23,588.28x = 35,378.40 × 22,287
  4. Step 4: Simplify right side
    23,588.28x = 788,478,400.80
  5. Step 5: Solve for x
    x = 788,478,400.80/23,588.28
  6. Step 6: Final answer
    x = 33,426.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.