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Finding the Fourth Proportional to 12,883.86, 19,328.22 and 4,116.42

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Solution

The fourth proportional to 12,883.86, 19,328.22 and 4,116.42 is: 6,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.86 : 19,328.22 = 4,116.42 : x
  2. Step 2: Convert to fraction form
    12,883.86/19,328.22 = 4,116.42/x
  3. Step 3: Cross multiply
    12,883.86x = 19,328.22 × 4,116.42
  4. Step 4: Simplify right side
    12,883.86x = 79,563,071.37
  5. Step 5: Solve for x
    x = 79,563,071.37/12,883.86
  6. Step 6: Final answer
    x = 6,175.41

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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.