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Finding the Fourth Proportional to 15,565, 21,481.50 and 8,851.63

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Solution

The fourth proportional to 15,565, 21,481.50 and 8,851.63 is: 12,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565 : 21,481.50 = 8,851.63 : x
  2. Step 2: Convert to fraction form
    15,565/21,481.50 = 8,851.63/x
  3. Step 3: Cross multiply
    15,565x = 21,481.50 × 8,851.63
  4. Step 4: Simplify right side
    15,565x = 190,146,289.85
  5. Step 5: Solve for x
    x = 190,146,289.85/15,565
  6. Step 6: Final answer
    x = 12,216.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.