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Finding the Fourth Proportional to 13,086.12, 18,058.93 and 7,117.83

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Solution

The fourth proportional to 13,086.12, 18,058.93 and 7,117.83 is: 9,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.12 : 18,058.93 = 7,117.83 : x
  2. Step 2: Convert to fraction form
    13,086.12/18,058.93 = 7,117.83/x
  3. Step 3: Cross multiply
    13,086.12x = 18,058.93 × 7,117.83
  4. Step 4: Simplify right side
    13,086.12x = 128,540,393.72
  5. Step 5: Solve for x
    x = 128,540,393.72/13,086.12
  6. Step 6: Final answer
    x = 9,822.65

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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.