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Finding the Fourth Proportional to 13,835.95, 19,095.74 and 8,171.31

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Solution

The fourth proportional to 13,835.95, 19,095.74 and 8,171.31 is: 11,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.95 : 19,095.74 = 8,171.31 : x
  2. Step 2: Convert to fraction form
    13,835.95/19,095.74 = 8,171.31/x
  3. Step 3: Cross multiply
    13,835.95x = 19,095.74 × 8,171.31
  4. Step 4: Simplify right side
    13,835.95x = 156,037,136.17
  5. Step 5: Solve for x
    x = 156,037,136.17/13,835.95
  6. Step 6: Final answer
    x = 11,277.66

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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.