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Finding the Fourth Proportional to 22,534.79, 33,804.45 and 7,741.76

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Solution

The fourth proportional to 22,534.79, 33,804.45 and 7,741.76 is: 11,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.79 : 33,804.45 = 7,741.76 : x
  2. Step 2: Convert to fraction form
    22,534.79/33,804.45 = 7,741.76/x
  3. Step 3: Cross multiply
    22,534.79x = 33,804.45 × 7,741.76
  4. Step 4: Simplify right side
    22,534.79x = 261,705,769.81
  5. Step 5: Solve for x
    x = 261,705,769.81/22,534.79
  6. Step 6: Final answer
    x = 11,613.41

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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.