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Finding the Fourth Proportional to 14,187.86, 19,579.06 and 7,814.33

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Solution

The fourth proportional to 14,187.86, 19,579.06 and 7,814.33 is: 10,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.86 : 19,579.06 = 7,814.33 : x
  2. Step 2: Convert to fraction form
    14,187.86/19,579.06 = 7,814.33/x
  3. Step 3: Cross multiply
    14,187.86x = 19,579.06 × 7,814.33
  4. Step 4: Simplify right side
    14,187.86x = 152,997,221.22
  5. Step 5: Solve for x
    x = 152,997,221.22/14,187.86
  6. Step 6: Final answer
    x = 10,783.67

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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.