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Finding the Fourth Proportional to 14,119.86, 19,484.13 and 7,832.22

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Solution

The fourth proportional to 14,119.86, 19,484.13 and 7,832.22 is: 10,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.86 : 19,484.13 = 7,832.22 : x
  2. Step 2: Convert to fraction form
    14,119.86/19,484.13 = 7,832.22/x
  3. Step 3: Cross multiply
    14,119.86x = 19,484.13 × 7,832.22
  4. Step 4: Simplify right side
    14,119.86x = 152,603,992.67
  5. Step 5: Solve for x
    x = 152,603,992.67/14,119.86
  6. Step 6: Final answer
    x = 10,807.76

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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.