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Finding the Fourth Proportional to 13,153.14, 19,737.18 and 4,832.08

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Solution

The fourth proportional to 13,153.14, 19,737.18 and 4,832.08 is: 7,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.14 : 19,737.18 = 4,832.08 : x
  2. Step 2: Convert to fraction form
    13,153.14/19,737.18 = 4,832.08/x
  3. Step 3: Cross multiply
    13,153.14x = 19,737.18 × 4,832.08
  4. Step 4: Simplify right side
    13,153.14x = 95,371,632.73
  5. Step 5: Solve for x
    x = 95,371,632.73/13,153.14
  6. Step 6: Final answer
    x = 7,250.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.