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Finding the Fourth Proportional to 13,102.66, 19,679.10 and 11,232.78

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Solution

The fourth proportional to 13,102.66, 19,679.10 and 11,232.78 is: 16,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.66 : 19,679.10 = 11,232.78 : x
  2. Step 2: Convert to fraction form
    13,102.66/19,679.10 = 11,232.78/x
  3. Step 3: Cross multiply
    13,102.66x = 19,679.10 × 11,232.78
  4. Step 4: Simplify right side
    13,102.66x = 221,051,000.90
  5. Step 5: Solve for x
    x = 221,051,000.90/13,102.66
  6. Step 6: Final answer
    x = 16,870.70

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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.