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Finding the Fourth Proportional to 23,686.74, 35,518.23 and 7,886.20

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Solution

The fourth proportional to 23,686.74, 35,518.23 and 7,886.20 is: 11,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.74 : 35,518.23 = 7,886.20 : x
  2. Step 2: Convert to fraction form
    23,686.74/35,518.23 = 7,886.20/x
  3. Step 3: Cross multiply
    23,686.74x = 35,518.23 × 7,886.20
  4. Step 4: Simplify right side
    23,686.74x = 280,103,865.43
  5. Step 5: Solve for x
    x = 280,103,865.43/23,686.74
  6. Step 6: Final answer
    x = 11,825.34

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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.