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Finding the Fourth Proportional to 13,486.72, 18,607.44 and 9,234.16

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Solution

The fourth proportional to 13,486.72, 18,607.44 and 9,234.16 is: 12,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.72 : 18,607.44 = 9,234.16 : x
  2. Step 2: Convert to fraction form
    13,486.72/18,607.44 = 9,234.16/x
  3. Step 3: Cross multiply
    13,486.72x = 18,607.44 × 9,234.16
  4. Step 4: Simplify right side
    13,486.72x = 171,824,078.15
  5. Step 5: Solve for x
    x = 171,824,078.15/13,486.72
  6. Step 6: Final answer
    x = 12,740.24

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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.