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Finding the Fourth Proportional to 13,083.06, 18,054.54 and 7,114.68

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Solution

The fourth proportional to 13,083.06, 18,054.54 and 7,114.68 is: 9,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.06 : 18,054.54 = 7,114.68 : x
  2. Step 2: Convert to fraction form
    13,083.06/18,054.54 = 7,114.68/x
  3. Step 3: Cross multiply
    13,083.06x = 18,054.54 × 7,114.68
  4. Step 4: Simplify right side
    13,083.06x = 128,452,274.65
  5. Step 5: Solve for x
    x = 128,452,274.65/13,083.06
  6. Step 6: Final answer
    x = 9,818.21

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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.