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Finding the Fourth Proportional to 26,749.30, 40,128.50 and 13,428.66

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Solution

The fourth proportional to 26,749.30, 40,128.50 and 13,428.66 is: 20,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,749.30 : 40,128.50 = 13,428.66 : x
  2. Step 2: Convert to fraction form
    26,749.30/40,128.50 = 13,428.66/x
  3. Step 3: Cross multiply
    26,749.30x = 40,128.50 × 13,428.66
  4. Step 4: Simplify right side
    26,749.30x = 538,871,982.81
  5. Step 5: Solve for x
    x = 538,871,982.81/26,749.30
  6. Step 6: Final answer
    x = 20,145.27

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