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Finding the Fourth Proportional to 13,083.14, 18,054.77 and 7,114.86

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Solution

The fourth proportional to 13,083.14, 18,054.77 and 7,114.86 is: 9,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.14 : 18,054.77 = 7,114.86 : x
  2. Step 2: Convert to fraction form
    13,083.14/18,054.77 = 7,114.86/x
  3. Step 3: Cross multiply
    13,083.14x = 18,054.77 × 7,114.86
  4. Step 4: Simplify right side
    13,083.14x = 128,457,125.31
  5. Step 5: Solve for x
    x = 128,457,125.31/13,083.14
  6. Step 6: Final answer
    x = 9,818.52

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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.