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Finding the Fourth Proportional to 21,887.76, 32,831.82 and 9,406.92

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Solution

The fourth proportional to 21,887.76, 32,831.82 and 9,406.92 is: 14,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.76 : 32,831.82 = 9,406.92 : x
  2. Step 2: Convert to fraction form
    21,887.76/32,831.82 = 9,406.92/x
  3. Step 3: Cross multiply
    21,887.76x = 32,831.82 × 9,406.92
  4. Step 4: Simplify right side
    21,887.76x = 308,846,304.19
  5. Step 5: Solve for x
    x = 308,846,304.19/21,887.76
  6. Step 6: Final answer
    x = 14,110.46

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1.5x scale

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.