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Finding the Fourth Proportional to 13,458.12, 18,563.54 and 8,684.16

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Solution

The fourth proportional to 13,458.12, 18,563.54 and 8,684.16 is: 11,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.12 : 18,563.54 = 8,684.16 : x
  2. Step 2: Convert to fraction form
    13,458.12/18,563.54 = 8,684.16/x
  3. Step 3: Cross multiply
    13,458.12x = 18,563.54 × 8,684.16
  4. Step 4: Simplify right side
    13,458.12x = 161,208,751.53
  5. Step 5: Solve for x
    x = 161,208,751.53/13,458.12
  6. Step 6: Final answer
    x = 11,978.55

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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.