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Finding the Fourth Proportional to 14,513.66, 20,025.34 and 9,206.54

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Solution

The fourth proportional to 14,513.66, 20,025.34 and 9,206.54 is: 12,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.66 : 20,025.34 = 9,206.54 : x
  2. Step 2: Convert to fraction form
    14,513.66/20,025.34 = 9,206.54/x
  3. Step 3: Cross multiply
    14,513.66x = 20,025.34 × 9,206.54
  4. Step 4: Simplify right side
    14,513.66x = 184,364,093.72
  5. Step 5: Solve for x
    x = 184,364,093.72/14,513.66
  6. Step 6: Final answer
    x = 12,702.80

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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.