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Finding the Fourth Proportional to 26,561.56, 39,821.82 and 13,407.16

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Solution

The fourth proportional to 26,561.56, 39,821.82 and 13,407.16 is: 20,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,561.56 : 39,821.82 = 13,407.16 : x
  2. Step 2: Convert to fraction form
    26,561.56/39,821.82 = 13,407.16/x
  3. Step 3: Cross multiply
    26,561.56x = 39,821.82 × 13,407.16
  4. Step 4: Simplify right side
    26,561.56x = 533,897,512.23
  5. Step 5: Solve for x
    x = 533,897,512.23/26,561.56
  6. Step 6: Final answer
    x = 20,100.38

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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.