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Finding the Fourth Proportional to 14,211.01, 19,610.94 and 7,838.19

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Solution

The fourth proportional to 14,211.01, 19,610.94 and 7,838.19 is: 10,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.01 : 19,610.94 = 7,838.19 : x
  2. Step 2: Convert to fraction form
    14,211.01/19,610.94 = 7,838.19/x
  3. Step 3: Cross multiply
    14,211.01x = 19,610.94 × 7,838.19
  4. Step 4: Simplify right side
    14,211.01x = 153,714,317.95
  5. Step 5: Solve for x
    x = 153,714,317.95/14,211.01
  6. Step 6: Final answer
    x = 10,816.56

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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.