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Finding the Fourth Proportional to 14,919.64, 20,580.51 and 8,947.84

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Solution

The fourth proportional to 14,919.64, 20,580.51 and 8,947.84 is: 12,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.64 : 20,580.51 = 8,947.84 : x
  2. Step 2: Convert to fraction form
    14,919.64/20,580.51 = 8,947.84/x
  3. Step 3: Cross multiply
    14,919.64x = 20,580.51 × 8,947.84
  4. Step 4: Simplify right side
    14,919.64x = 184,151,110.60
  5. Step 5: Solve for x
    x = 184,151,110.60/14,919.64
  6. Step 6: Final answer
    x = 12,342.87

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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.