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Finding the Fourth Proportional to 15,645.66, 23,466.52 and 5,114.80

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Solution

The fourth proportional to 15,645.66, 23,466.52 and 5,114.80 is: 7,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.66 : 23,466.52 = 5,114.80 : x
  2. Step 2: Convert to fraction form
    15,645.66/23,466.52 = 5,114.80/x
  3. Step 3: Cross multiply
    15,645.66x = 23,466.52 × 5,114.80
  4. Step 4: Simplify right side
    15,645.66x = 120,026,556.50
  5. Step 5: Solve for x
    x = 120,026,556.50/15,645.66
  6. Step 6: Final answer
    x = 7,671.56

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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.