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Finding the Fourth Proportional to 13,084.50, 18,056.59 and 7,116.18

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Solution

The fourth proportional to 13,084.50, 18,056.59 and 7,116.18 is: 9,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.50 : 18,056.59 = 7,116.18 : x
  2. Step 2: Convert to fraction form
    13,084.50/18,056.59 = 7,116.18/x
  3. Step 3: Cross multiply
    13,084.50x = 18,056.59 × 7,116.18
  4. Step 4: Simplify right side
    13,084.50x = 128,493,944.63
  5. Step 5: Solve for x
    x = 128,493,944.63/13,084.50
  6. Step 6: Final answer
    x = 9,820.32

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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.