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Finding the Fourth Proportional to 12,643.10, 18,967.29 and 4,851.86

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Solution

The fourth proportional to 12,643.10, 18,967.29 and 4,851.86 is: 7,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.10 : 18,967.29 = 4,851.86 : x
  2. Step 2: Convert to fraction form
    12,643.10/18,967.29 = 4,851.86/x
  3. Step 3: Cross multiply
    12,643.10x = 18,967.29 × 4,851.86
  4. Step 4: Simplify right side
    12,643.10x = 92,026,635.66
  5. Step 5: Solve for x
    x = 92,026,635.66/12,643.10
  6. Step 6: Final answer
    x = 7,278.80

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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.