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Finding the Fourth Proportional to 15,782.73, 23,674.10 and 13,203.69

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Solution

The fourth proportional to 15,782.73, 23,674.10 and 13,203.69 is: 19,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.73 : 23,674.10 = 13,203.69 : x
  2. Step 2: Convert to fraction form
    15,782.73/23,674.10 = 13,203.69/x
  3. Step 3: Cross multiply
    15,782.73x = 23,674.10 × 13,203.69
  4. Step 4: Simplify right side
    15,782.73x = 312,585,411.41
  5. Step 5: Solve for x
    x = 312,585,411.41/15,782.73
  6. Step 6: Final answer
    x = 19,805.54

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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.