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Finding the Fourth Proportional to 21,584.46, 32,378.28 and 7,542.86

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Solution

The fourth proportional to 21,584.46, 32,378.28 and 7,542.86 is: 11,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.46 : 32,378.28 = 7,542.86 : x
  2. Step 2: Convert to fraction form
    21,584.46/32,378.28 = 7,542.86/x
  3. Step 3: Cross multiply
    21,584.46x = 32,378.28 × 7,542.86
  4. Step 4: Simplify right side
    21,584.46x = 244,224,671.19
  5. Step 5: Solve for x
    x = 244,224,671.19/21,584.46
  6. Step 6: Final answer
    x = 11,314.84

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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.