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Finding the Fourth Proportional to 13,006.35, 19,510.47 and 4,240.89

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Solution

The fourth proportional to 13,006.35, 19,510.47 and 4,240.89 is: 6,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.35 : 19,510.47 = 4,240.89 : x
  2. Step 2: Convert to fraction form
    13,006.35/19,510.47 = 4,240.89/x
  3. Step 3: Cross multiply
    13,006.35x = 19,510.47 × 4,240.89
  4. Step 4: Simplify right side
    13,006.35x = 82,741,757.12
  5. Step 5: Solve for x
    x = 82,741,757.12/13,006.35
  6. Step 6: Final answer
    x = 6,361.64

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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.