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Finding the Fourth Proportional to 21,223.84, 31,679.96 and 19,660

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Solution

The fourth proportional to 21,223.84, 31,679.96 and 19,660 is: 29,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.84 : 31,679.96 = 19,660 : x
  2. Step 2: Convert to fraction form
    21,223.84/31,679.96 = 19,660/x
  3. Step 3: Cross multiply
    21,223.84x = 31,679.96 × 19,660
  4. Step 4: Simplify right side
    21,223.84x = 622,828,013.60
  5. Step 5: Solve for x
    x = 622,828,013.60/21,223.84
  6. Step 6: Final answer
    x = 29,345.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.