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Finding the Fourth Proportional to 13,705.94, 18,912.14 and 8,038.55

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Solution

The fourth proportional to 13,705.94, 18,912.14 and 8,038.55 is: 11,091.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.94 : 18,912.14 = 8,038.55 : x
  2. Step 2: Convert to fraction form
    13,705.94/18,912.14 = 8,038.55/x
  3. Step 3: Cross multiply
    13,705.94x = 18,912.14 × 8,038.55
  4. Step 4: Simplify right side
    13,705.94x = 152,026,108.53
  5. Step 5: Solve for x
    x = 152,026,108.53/13,705.94
  6. Step 6: Final answer
    x = 11,091.99

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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.