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Finding the Fourth Proportional to 14,737.20, 22,083.88 and 11,434

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Solution

The fourth proportional to 14,737.20, 22,083.88 and 11,434 is: 17,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.20 : 22,083.88 = 11,434 : x
  2. Step 2: Convert to fraction form
    14,737.20/22,083.88 = 11,434/x
  3. Step 3: Cross multiply
    14,737.20x = 22,083.88 × 11,434
  4. Step 4: Simplify right side
    14,737.20x = 252,507,083.92
  5. Step 5: Solve for x
    x = 252,507,083.92/14,737.20
  6. Step 6: Final answer
    x = 17,133.99

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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.