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Finding the Fourth Proportional to 22,000, 30,360 and 12,064

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Solution

The fourth proportional to 22,000, 30,360 and 12,064 is: 16,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000 : 30,360 = 12,064 : x
  2. Step 2: Convert to fraction form
    22,000/30,360 = 12,064/x
  3. Step 3: Cross multiply
    22,000x = 30,360 × 12,064
  4. Step 4: Simplify right side
    22,000x = 366,263,040
  5. Step 5: Solve for x
    x = 366,263,040/22,000
  6. Step 6: Final answer
    x = 16,648.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.