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Finding the Fourth Proportional to 13,188.10, 18,199.12 and 7,219.64

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Solution

The fourth proportional to 13,188.10, 18,199.12 and 7,219.64 is: 9,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.10 : 18,199.12 = 7,219.64 : x
  2. Step 2: Convert to fraction form
    13,188.10/18,199.12 = 7,219.64/x
  3. Step 3: Cross multiply
    13,188.10x = 18,199.12 × 7,219.64
  4. Step 4: Simplify right side
    13,188.10x = 131,391,094.72
  5. Step 5: Solve for x
    x = 131,391,094.72/13,188.10
  6. Step 6: Final answer
    x = 9,962.85

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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.