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Finding the Fourth Proportional to 13,112.42, 19,656.96 and 9,405.32

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Solution

The fourth proportional to 13,112.42, 19,656.96 and 9,405.32 is: 14,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.42 : 19,656.96 = 9,405.32 : x
  2. Step 2: Convert to fraction form
    13,112.42/19,656.96 = 9,405.32/x
  3. Step 3: Cross multiply
    13,112.42x = 19,656.96 × 9,405.32
  4. Step 4: Simplify right side
    13,112.42x = 184,879,999.03
  5. Step 5: Solve for x
    x = 184,879,999.03/13,112.42
  6. Step 6: Final answer
    x = 14,099.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.