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Finding the Fourth Proportional to 23,790.80, 35,696.14 and 10,456.92

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Solution

The fourth proportional to 23,790.80, 35,696.14 and 10,456.92 is: 15,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,790.80 : 35,696.14 = 10,456.92 : x
  2. Step 2: Convert to fraction form
    23,790.80/35,696.14 = 10,456.92/x
  3. Step 3: Cross multiply
    23,790.80x = 35,696.14 × 10,456.92
  4. Step 4: Simplify right side
    23,790.80x = 373,271,680.29
  5. Step 5: Solve for x
    x = 373,271,680.29/23,790.80
  6. Step 6: Final answer
    x = 15,689.75

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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.