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Finding the Fourth Proportional to 11,620.16, 17,430.08 and 4,224.32

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Solution

The fourth proportional to 11,620.16, 17,430.08 and 4,224.32 is: 6,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.16 : 17,430.08 = 4,224.32 : x
  2. Step 2: Convert to fraction form
    11,620.16/17,430.08 = 4,224.32/x
  3. Step 3: Cross multiply
    11,620.16x = 17,430.08 × 4,224.32
  4. Step 4: Simplify right side
    11,620.16x = 73,630,235.55
  5. Step 5: Solve for x
    x = 73,630,235.55/11,620.16
  6. Step 6: Final answer
    x = 6,336.42

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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.