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Finding the Fourth Proportional to 13,141.88, 19,705.90 and 5,737.69

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Solution

The fourth proportional to 13,141.88, 19,705.90 and 5,737.69 is: 8,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.88 : 19,705.90 = 5,737.69 : x
  2. Step 2: Convert to fraction form
    13,141.88/19,705.90 = 5,737.69/x
  3. Step 3: Cross multiply
    13,141.88x = 19,705.90 × 5,737.69
  4. Step 4: Simplify right side
    13,141.88x = 113,066,399.78
  5. Step 5: Solve for x
    x = 113,066,399.78/13,141.88
  6. Step 6: Final answer
    x = 8,603.52

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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.