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Finding the Fourth Proportional to 23,878.74, 35,818.14 and 9,084.18

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Solution

The fourth proportional to 23,878.74, 35,818.14 and 9,084.18 is: 13,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.74 : 35,818.14 = 9,084.18 : x
  2. Step 2: Convert to fraction form
    23,878.74/35,818.14 = 9,084.18/x
  3. Step 3: Cross multiply
    23,878.74x = 35,818.14 × 9,084.18
  4. Step 4: Simplify right side
    23,878.74x = 325,378,431.03
  5. Step 5: Solve for x
    x = 325,378,431.03/23,878.74
  6. Step 6: Final answer
    x = 13,626.28

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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.