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Finding the Fourth Proportional to 13,812.42, 19,062.36 and 7,845.96

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Solution

The fourth proportional to 13,812.42, 19,062.36 and 7,845.96 is: 10,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.42 : 19,062.36 = 7,845.96 : x
  2. Step 2: Convert to fraction form
    13,812.42/19,062.36 = 7,845.96/x
  3. Step 3: Cross multiply
    13,812.42x = 19,062.36 × 7,845.96
  4. Step 4: Simplify right side
    13,812.42x = 149,562,514.07
  5. Step 5: Solve for x
    x = 149,562,514.07/13,812.42
  6. Step 6: Final answer
    x = 10,828.12

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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.