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Finding the Fourth Proportional to 13,293.92, 18,347.65 and 10,102.05

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Solution

The fourth proportional to 13,293.92, 18,347.65 and 10,102.05 is: 13,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293.92 : 18,347.65 = 10,102.05 : x
  2. Step 2: Convert to fraction form
    13,293.92/18,347.65 = 10,102.05/x
  3. Step 3: Cross multiply
    13,293.92x = 18,347.65 × 10,102.05
  4. Step 4: Simplify right side
    13,293.92x = 185,348,852.43
  5. Step 5: Solve for x
    x = 185,348,852.43/13,293.92
  6. Step 6: Final answer
    x = 13,942.37

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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.