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Finding the Fourth Proportional to 26,049, 35,947.76 and 14,112.37

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Solution

The fourth proportional to 26,049, 35,947.76 and 14,112.37 is: 19,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,049 : 35,947.76 = 14,112.37 : x
  2. Step 2: Convert to fraction form
    26,049/35,947.76 = 14,112.37/x
  3. Step 3: Cross multiply
    26,049x = 35,947.76 × 14,112.37
  4. Step 4: Simplify right side
    26,049x = 507,308,089.79
  5. Step 5: Solve for x
    x = 507,308,089.79/26,049
  6. Step 6: Final answer
    x = 19,475.15

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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.