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Finding the Fourth Proportional to 14,233.86, 19,642.62 and 7,860.84

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Solution

The fourth proportional to 14,233.86, 19,642.62 and 7,860.84 is: 10,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.86 : 19,642.62 = 7,860.84 : x
  2. Step 2: Convert to fraction form
    14,233.86/19,642.62 = 7,860.84/x
  3. Step 3: Cross multiply
    14,233.86x = 19,642.62 × 7,860.84
  4. Step 4: Simplify right side
    14,233.86x = 154,407,493.00
  5. Step 5: Solve for x
    x = 154,407,493.00/14,233.86
  6. Step 6: Final answer
    x = 10,847.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.