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Finding the Fourth Proportional to 14,533.96, 20,056.64 and 8,565.88

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Solution

The fourth proportional to 14,533.96, 20,056.64 and 8,565.88 is: 11,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.96 : 20,056.64 = 8,565.88 : x
  2. Step 2: Convert to fraction form
    14,533.96/20,056.64 = 8,565.88/x
  3. Step 3: Cross multiply
    14,533.96x = 20,056.64 × 8,565.88
  4. Step 4: Simplify right side
    14,533.96x = 171,802,771.44
  5. Step 5: Solve for x
    x = 171,802,771.44/14,533.96
  6. Step 6: Final answer
    x = 11,820.78

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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.