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Finding the Fourth Proportional to 13,111.53, 19,675.19 and 5,212.61

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Solution

The fourth proportional to 13,111.53, 19,675.19 and 5,212.61 is: 7,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.53 : 19,675.19 = 5,212.61 : x
  2. Step 2: Convert to fraction form
    13,111.53/19,675.19 = 5,212.61/x
  3. Step 3: Cross multiply
    13,111.53x = 19,675.19 × 5,212.61
  4. Step 4: Simplify right side
    13,111.53x = 102,559,092.15
  5. Step 5: Solve for x
    x = 102,559,092.15/13,111.53
  6. Step 6: Final answer
    x = 7,822.05

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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.