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Finding the Fourth Proportional to 14,539.86, 20,064.74 and 8,166.51

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Solution

The fourth proportional to 14,539.86, 20,064.74 and 8,166.51 is: 11,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.86 : 20,064.74 = 8,166.51 : x
  2. Step 2: Convert to fraction form
    14,539.86/20,064.74 = 8,166.51/x
  3. Step 3: Cross multiply
    14,539.86x = 20,064.74 × 8,166.51
  4. Step 4: Simplify right side
    14,539.86x = 163,858,859.02
  5. Step 5: Solve for x
    x = 163,858,859.02/14,539.86
  6. Step 6: Final answer
    x = 11,269.63

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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.