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Finding the Fourth Proportional to 13,083.16, 18,054.63 and 7,114.88

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Solution

The fourth proportional to 13,083.16, 18,054.63 and 7,114.88 is: 9,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.16 : 18,054.63 = 7,114.88 : x
  2. Step 2: Convert to fraction form
    13,083.16/18,054.63 = 7,114.88/x
  3. Step 3: Cross multiply
    13,083.16x = 18,054.63 × 7,114.88
  4. Step 4: Simplify right side
    13,083.16x = 128,456,435.62
  5. Step 5: Solve for x
    x = 128,456,435.62/13,083.16
  6. Step 6: Final answer
    x = 9,818.46

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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.