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Finding the Fourth Proportional to 13,114.85, 19,677.13 and 6,098.63

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Solution

The fourth proportional to 13,114.85, 19,677.13 and 6,098.63 is: 9,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.85 : 19,677.13 = 6,098.63 : x
  2. Step 2: Convert to fraction form
    13,114.85/19,677.13 = 6,098.63/x
  3. Step 3: Cross multiply
    13,114.85x = 19,677.13 × 6,098.63
  4. Step 4: Simplify right side
    13,114.85x = 120,003,436.95
  5. Step 5: Solve for x
    x = 120,003,436.95/13,114.85
  6. Step 6: Final answer
    x = 9,150.20

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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.