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Finding the Fourth Proportional to 22,725.79, 34,094.07 and 7,143.43

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Solution

The fourth proportional to 22,725.79, 34,094.07 and 7,143.43 is: 10,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725.79 : 34,094.07 = 7,143.43 : x
  2. Step 2: Convert to fraction form
    22,725.79/34,094.07 = 7,143.43/x
  3. Step 3: Cross multiply
    22,725.79x = 34,094.07 × 7,143.43
  4. Step 4: Simplify right side
    22,725.79x = 243,548,602.46
  5. Step 5: Solve for x
    x = 243,548,602.46/22,725.79
  6. Step 6: Final answer
    x = 10,716.84

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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.