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Finding the Fourth Proportional to 21,223.77, 31,849.02 and 11,869.92

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Solution

The fourth proportional to 21,223.77, 31,849.02 and 11,869.92 is: 17,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.77 : 31,849.02 = 11,869.92 : x
  2. Step 2: Convert to fraction form
    21,223.77/31,849.02 = 11,869.92/x
  3. Step 3: Cross multiply
    21,223.77x = 31,849.02 × 11,869.92
  4. Step 4: Simplify right side
    21,223.77x = 378,045,319.48
  5. Step 5: Solve for x
    x = 378,045,319.48/21,223.77
  6. Step 6: Final answer
    x = 17,812.35

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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.