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Finding the Fourth Proportional to 26,743.32, 40,101.14 and 13,402.01

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Solution

The fourth proportional to 26,743.32, 40,101.14 and 13,402.01 is: 20,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,743.32 : 40,101.14 = 13,402.01 : x
  2. Step 2: Convert to fraction form
    26,743.32/40,101.14 = 13,402.01/x
  3. Step 3: Cross multiply
    26,743.32x = 40,101.14 × 13,402.01
  4. Step 4: Simplify right side
    26,743.32x = 537,436,013.05
  5. Step 5: Solve for x
    x = 537,436,013.05/26,743.32
  6. Step 6: Final answer
    x = 20,096.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.