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Finding the Fourth Proportional to 23,806.61, 35,714.43 and 9,576.18

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Solution

The fourth proportional to 23,806.61, 35,714.43 and 9,576.18 is: 14,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.61 : 35,714.43 = 9,576.18 : x
  2. Step 2: Convert to fraction form
    23,806.61/35,714.43 = 9,576.18/x
  3. Step 3: Cross multiply
    23,806.61x = 35,714.43 × 9,576.18
  4. Step 4: Simplify right side
    23,806.61x = 342,007,744.93
  5. Step 5: Solve for x
    x = 342,007,744.93/23,806.61
  6. Step 6: Final answer
    x = 14,366.08

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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.