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Finding the Fourth Proportional to 21,505.86, 29,677.63 and 12,074.43

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Solution

The fourth proportional to 21,505.86, 29,677.63 and 12,074.43 is: 16,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.86 : 29,677.63 = 12,074.43 : x
  2. Step 2: Convert to fraction form
    21,505.86/29,677.63 = 12,074.43/x
  3. Step 3: Cross multiply
    21,505.86x = 29,677.63 × 12,074.43
  4. Step 4: Simplify right side
    21,505.86x = 358,340,466.00
  5. Step 5: Solve for x
    x = 358,340,466.00/21,505.86
  6. Step 6: Final answer
    x = 16,662.46

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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.