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Finding the Fourth Proportional to 15,782.40, 23,673.60 and 11,845.80

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Solution

The fourth proportional to 15,782.40, 23,673.60 and 11,845.80 is: 17,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.40 : 23,673.60 = 11,845.80 : x
  2. Step 2: Convert to fraction form
    15,782.40/23,673.60 = 11,845.80/x
  3. Step 3: Cross multiply
    15,782.40x = 23,673.60 × 11,845.80
  4. Step 4: Simplify right side
    15,782.40x = 280,432,730.88
  5. Step 5: Solve for x
    x = 280,432,730.88/15,782.40
  6. Step 6: Final answer
    x = 17,768.70

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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.