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Finding the Fourth Proportional to 13,237.98, 19,827.81 and 8,834.82

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Solution

The fourth proportional to 13,237.98, 19,827.81 and 8,834.82 is: 13,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.98 : 19,827.81 = 8,834.82 : x
  2. Step 2: Convert to fraction form
    13,237.98/19,827.81 = 8,834.82/x
  3. Step 3: Cross multiply
    13,237.98x = 19,827.81 × 8,834.82
  4. Step 4: Simplify right side
    13,237.98x = 175,175,132.34
  5. Step 5: Solve for x
    x = 175,175,132.34/13,237.98
  6. Step 6: Final answer
    x = 13,232.77

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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.