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Finding the Fourth Proportional to 14,700.66, 20,289.60 and 8,735.64

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Solution

The fourth proportional to 14,700.66, 20,289.60 and 8,735.64 is: 12,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.66 : 20,289.60 = 8,735.64 : x
  2. Step 2: Convert to fraction form
    14,700.66/20,289.60 = 8,735.64/x
  3. Step 3: Cross multiply
    14,700.66x = 20,289.60 × 8,735.64
  4. Step 4: Simplify right side
    14,700.66x = 177,242,641.34
  5. Step 5: Solve for x
    x = 177,242,641.34/14,700.66
  6. Step 6: Final answer
    x = 12,056.78

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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.