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Finding the Fourth Proportional to 21,887.46, 32,831.91 and 7,096.50

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Solution

The fourth proportional to 21,887.46, 32,831.91 and 7,096.50 is: 10,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.46 : 32,831.91 = 7,096.50 : x
  2. Step 2: Convert to fraction form
    21,887.46/32,831.91 = 7,096.50/x
  3. Step 3: Cross multiply
    21,887.46x = 32,831.91 × 7,096.50
  4. Step 4: Simplify right side
    21,887.46x = 232,991,649.32
  5. Step 5: Solve for x
    x = 232,991,649.32/21,887.46
  6. Step 6: Final answer
    x = 10,644.98

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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.