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Finding the Fourth Proportional to 21,320, 31,986.66 and 7,280.36

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Solution

The fourth proportional to 21,320, 31,986.66 and 7,280.36 is: 10,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,320 : 31,986.66 = 7,280.36 : x
  2. Step 2: Convert to fraction form
    21,320/31,986.66 = 7,280.36/x
  3. Step 3: Cross multiply
    21,320x = 31,986.66 × 7,280.36
  4. Step 4: Simplify right side
    21,320x = 232,874,400.00
  5. Step 5: Solve for x
    x = 232,874,400.00/21,320
  6. Step 6: Final answer
    x = 10,922.81

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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.