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Finding the Fourth Proportional to 14,083.73, 19,435.55 and 7,710.31

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Solution

The fourth proportional to 14,083.73, 19,435.55 and 7,710.31 is: 10,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.73 : 19,435.55 = 7,710.31 : x
  2. Step 2: Convert to fraction form
    14,083.73/19,435.55 = 7,710.31/x
  3. Step 3: Cross multiply
    14,083.73x = 19,435.55 × 7,710.31
  4. Step 4: Simplify right side
    14,083.73x = 149,854,056.99
  5. Step 5: Solve for x
    x = 149,854,056.99/14,083.73
  6. Step 6: Final answer
    x = 10,640.22

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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.