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Finding the Fourth Proportional to 21,935.34, 32,902.98 and 7,144.24

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Solution

The fourth proportional to 21,935.34, 32,902.98 and 7,144.24 is: 10,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935.34 : 32,902.98 = 7,144.24 : x
  2. Step 2: Convert to fraction form
    21,935.34/32,902.98 = 7,144.24/x
  3. Step 3: Cross multiply
    21,935.34x = 32,902.98 × 7,144.24
  4. Step 4: Simplify right side
    21,935.34x = 235,066,785.84
  5. Step 5: Solve for x
    x = 235,066,785.84/21,935.34
  6. Step 6: Final answer
    x = 10,716.35

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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.