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Finding the Fourth Proportional to 13,049.60, 19,539.84 and 6,874.88

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Solution

The fourth proportional to 13,049.60, 19,539.84 and 6,874.88 is: 10,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.60 : 19,539.84 = 6,874.88 : x
  2. Step 2: Convert to fraction form
    13,049.60/19,539.84 = 6,874.88/x
  3. Step 3: Cross multiply
    13,049.60x = 19,539.84 × 6,874.88
  4. Step 4: Simplify right side
    13,049.60x = 134,334,055.22
  5. Step 5: Solve for x
    x = 134,334,055.22/13,049.60
  6. Step 6: Final answer
    x = 10,294.11

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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.