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Finding the Fourth Proportional to 14,816.86, 20,449.17 and 8,445.77

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Solution

The fourth proportional to 14,816.86, 20,449.17 and 8,445.77 is: 11,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.86 : 20,449.17 = 8,445.77 : x
  2. Step 2: Convert to fraction form
    14,816.86/20,449.17 = 8,445.77/x
  3. Step 3: Cross multiply
    14,816.86x = 20,449.17 × 8,445.77
  4. Step 4: Simplify right side
    14,816.86x = 172,708,986.51
  5. Step 5: Solve for x
    x = 172,708,986.51/14,816.86
  6. Step 6: Final answer
    x = 11,656.25

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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.