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Finding the Fourth Proportional to 12,854.20, 17,738.06 and 7,111.32

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Solution

The fourth proportional to 12,854.20, 17,738.06 and 7,111.32 is: 9,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.20 : 17,738.06 = 7,111.32 : x
  2. Step 2: Convert to fraction form
    12,854.20/17,738.06 = 7,111.32/x
  3. Step 3: Cross multiply
    12,854.20x = 17,738.06 × 7,111.32
  4. Step 4: Simplify right side
    12,854.20x = 126,140,918.76
  5. Step 5: Solve for x
    x = 126,140,918.76/12,854.20
  6. Step 6: Final answer
    x = 9,813.21

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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.