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Finding the Fourth Proportional to 21,701.73, 32,571.03 and 15,477

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Solution

The fourth proportional to 21,701.73, 32,571.03 and 15,477 is: 23,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.73 : 32,571.03 = 15,477 : x
  2. Step 2: Convert to fraction form
    21,701.73/32,571.03 = 15,477/x
  3. Step 3: Cross multiply
    21,701.73x = 32,571.03 × 15,477
  4. Step 4: Simplify right side
    21,701.73x = 504,101,831.31
  5. Step 5: Solve for x
    x = 504,101,831.31/21,701.73
  6. Step 6: Final answer
    x = 23,228.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.