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Finding the Fourth Proportional to 23,387.64, 35,070.09 and 7,800

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Solution

The fourth proportional to 23,387.64, 35,070.09 and 7,800 is: 11,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387.64 : 35,070.09 = 7,800 : x
  2. Step 2: Convert to fraction form
    23,387.64/35,070.09 = 7,800/x
  3. Step 3: Cross multiply
    23,387.64x = 35,070.09 × 7,800
  4. Step 4: Simplify right side
    23,387.64x = 273,546,702
  5. Step 5: Solve for x
    x = 273,546,702/23,387.64
  6. Step 6: Final answer
    x = 11,696.21

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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.