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Finding the Fourth Proportional to 12,854.95, 17,739.09 and 7,112.07

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Solution

The fourth proportional to 12,854.95, 17,739.09 and 7,112.07 is: 9,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.95 : 17,739.09 = 7,112.07 : x
  2. Step 2: Convert to fraction form
    12,854.95/17,739.09 = 7,112.07/x
  3. Step 3: Cross multiply
    12,854.95x = 17,739.09 × 7,112.07
  4. Step 4: Simplify right side
    12,854.95x = 126,161,649.82
  5. Step 5: Solve for x
    x = 126,161,649.82/12,854.95
  6. Step 6: Final answer
    x = 9,814.25

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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.