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Finding the Fourth Proportional to 14,737.02, 22,114.17 and 8,894.22

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Solution

The fourth proportional to 14,737.02, 22,114.17 and 8,894.22 is: 13,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.02 : 22,114.17 = 8,894.22 : x
  2. Step 2: Convert to fraction form
    14,737.02/22,114.17 = 8,894.22/x
  3. Step 3: Cross multiply
    14,737.02x = 22,114.17 × 8,894.22
  4. Step 4: Simplify right side
    14,737.02x = 196,688,293.10
  5. Step 5: Solve for x
    x = 196,688,293.10/14,737.02
  6. Step 6: Final answer
    x = 13,346.54

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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.