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Finding the Fourth Proportional to 24,302.64, 33,541.92 and 23,194.56

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Solution

The fourth proportional to 24,302.64, 33,541.92 and 23,194.56 is: 32,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302.64 : 33,541.92 = 23,194.56 : x
  2. Step 2: Convert to fraction form
    24,302.64/33,541.92 = 23,194.56/x
  3. Step 3: Cross multiply
    24,302.64x = 33,541.92 × 23,194.56
  4. Step 4: Simplify right side
    24,302.64x = 777,990,075.96
  5. Step 5: Solve for x
    x = 777,990,075.96/24,302.64
  6. Step 6: Final answer
    x = 32,012.57

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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.