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Finding the Fourth Proportional to 13,074.31, 18,042.65 and 7,105.98

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Solution

The fourth proportional to 13,074.31, 18,042.65 and 7,105.98 is: 9,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.31 : 18,042.65 = 7,105.98 : x
  2. Step 2: Convert to fraction form
    13,074.31/18,042.65 = 7,105.98/x
  3. Step 3: Cross multiply
    13,074.31x = 18,042.65 × 7,105.98
  4. Step 4: Simplify right side
    13,074.31x = 128,210,727.81
  5. Step 5: Solve for x
    x = 128,210,727.81/13,074.31
  6. Step 6: Final answer
    x = 9,806.31

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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.