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Finding the Fourth Proportional to 13,083.15, 18,054.66 and 7,114.80

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Solution

The fourth proportional to 13,083.15, 18,054.66 and 7,114.80 is: 9,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.15 : 18,054.66 = 7,114.80 : x
  2. Step 2: Convert to fraction form
    13,083.15/18,054.66 = 7,114.80/x
  3. Step 3: Cross multiply
    13,083.15x = 18,054.66 × 7,114.80
  4. Step 4: Simplify right side
    13,083.15x = 128,455,294.97
  5. Step 5: Solve for x
    x = 128,455,294.97/13,083.15
  6. Step 6: Final answer
    x = 9,818.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.