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Finding the Fourth Proportional to 13,942.61, 20,888.54 and 12,447.93

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Solution

The fourth proportional to 13,942.61, 20,888.54 and 12,447.93 is: 18,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.61 : 20,888.54 = 12,447.93 : x
  2. Step 2: Convert to fraction form
    13,942.61/20,888.54 = 12,447.93/x
  3. Step 3: Cross multiply
    13,942.61x = 20,888.54 × 12,447.93
  4. Step 4: Simplify right side
    13,942.61x = 260,019,005.66
  5. Step 5: Solve for x
    x = 260,019,005.66/13,942.61
  6. Step 6: Final answer
    x = 18,649.24

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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.