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Finding the Fourth Proportional to 21,141.57, 31,715.99 and 7,102.94

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Solution

The fourth proportional to 21,141.57, 31,715.99 and 7,102.94 is: 10,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.57 : 31,715.99 = 7,102.94 : x
  2. Step 2: Convert to fraction form
    21,141.57/31,715.99 = 7,102.94/x
  3. Step 3: Cross multiply
    21,141.57x = 31,715.99 × 7,102.94
  4. Step 4: Simplify right side
    21,141.57x = 225,276,774.01
  5. Step 5: Solve for x
    x = 225,276,774.01/21,141.57
  6. Step 6: Final answer
    x = 10,655.63

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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.