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Finding the Fourth Proportional to 13,084.34, 18,056.86 and 7,496.42

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Solution

The fourth proportional to 13,084.34, 18,056.86 and 7,496.42 is: 10,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.34 : 18,056.86 = 7,496.42 : x
  2. Step 2: Convert to fraction form
    13,084.34/18,056.86 = 7,496.42/x
  3. Step 3: Cross multiply
    13,084.34x = 18,056.86 × 7,496.42
  4. Step 4: Simplify right side
    13,084.34x = 135,361,697.42
  5. Step 5: Solve for x
    x = 135,361,697.42/13,084.34
  6. Step 6: Final answer
    x = 10,345.32

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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.