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Finding the Fourth Proportional to 14,202.62, 19,599.69 and 8,237.82

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Solution

The fourth proportional to 14,202.62, 19,599.69 and 8,237.82 is: 11,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.62 : 19,599.69 = 8,237.82 : x
  2. Step 2: Convert to fraction form
    14,202.62/19,599.69 = 8,237.82/x
  3. Step 3: Cross multiply
    14,202.62x = 19,599.69 × 8,237.82
  4. Step 4: Simplify right side
    14,202.62x = 161,458,718.28
  5. Step 5: Solve for x
    x = 161,458,718.28/14,202.62
  6. Step 6: Final answer
    x = 11,368.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.