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Finding the Fourth Proportional to 22,200.18, 30,641.43 and 14,647.86

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Solution

The fourth proportional to 22,200.18, 30,641.43 and 14,647.86 is: 20,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.18 : 30,641.43 = 14,647.86 : x
  2. Step 2: Convert to fraction form
    22,200.18/30,641.43 = 14,647.86/x
  3. Step 3: Cross multiply
    22,200.18x = 30,641.43 × 14,647.86
  4. Step 4: Simplify right side
    22,200.18x = 448,831,376.84
  5. Step 5: Solve for x
    x = 448,831,376.84/22,200.18
  6. Step 6: Final answer
    x = 20,217.47

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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.