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Finding the Fourth Proportional to 21,370.12, 32,056.54 and 8,222.48

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Solution

The fourth proportional to 21,370.12, 32,056.54 and 8,222.48 is: 12,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,370.12 : 32,056.54 = 8,222.48 : x
  2. Step 2: Convert to fraction form
    21,370.12/32,056.54 = 8,222.48/x
  3. Step 3: Cross multiply
    21,370.12x = 32,056.54 × 8,222.48
  4. Step 4: Simplify right side
    21,370.12x = 263,584,259.02
  5. Step 5: Solve for x
    x = 263,584,259.02/21,370.12
  6. Step 6: Final answer
    x = 12,334.24

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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.