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Finding the Fourth Proportional to 13,291.59, 18,335.66 and 10,142.31

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Solution

The fourth proportional to 13,291.59, 18,335.66 and 10,142.31 is: 13,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.59 : 18,335.66 = 10,142.31 : x
  2. Step 2: Convert to fraction form
    13,291.59/18,335.66 = 10,142.31/x
  3. Step 3: Cross multiply
    13,291.59x = 18,335.66 × 10,142.31
  4. Step 4: Simplify right side
    13,291.59x = 185,965,897.06
  5. Step 5: Solve for x
    x = 185,965,897.06/13,291.59
  6. Step 6: Final answer
    x = 13,991.25

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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.