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Finding the Fourth Proportional to 23,854.97, 35,782.49 and 8,060.07

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Solution

The fourth proportional to 23,854.97, 35,782.49 and 8,060.07 is: 12,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.97 : 35,782.49 = 8,060.07 : x
  2. Step 2: Convert to fraction form
    23,854.97/35,782.49 = 8,060.07/x
  3. Step 3: Cross multiply
    23,854.97x = 35,782.49 × 8,060.07
  4. Step 4: Simplify right side
    23,854.97x = 288,409,528.51
  5. Step 5: Solve for x
    x = 288,409,528.51/23,854.97
  6. Step 6: Final answer
    x = 12,090.12

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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.