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Finding the Fourth Proportional to 14,210.86, 19,610.66 and 8,243.08

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Solution

The fourth proportional to 14,210.86, 19,610.66 and 8,243.08 is: 11,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.86 : 19,610.66 = 8,243.08 : x
  2. Step 2: Convert to fraction form
    14,210.86/19,610.66 = 8,243.08/x
  3. Step 3: Cross multiply
    14,210.86x = 19,610.66 × 8,243.08
  4. Step 4: Simplify right side
    14,210.86x = 161,652,239.23
  5. Step 5: Solve for x
    x = 161,652,239.23/14,210.86
  6. Step 6: Final answer
    x = 11,375.26

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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.