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Finding the Fourth Proportional to 23,970.31, 35,924.20 and 12,864

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Solution

The fourth proportional to 23,970.31, 35,924.20 and 12,864 is: 19,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.31 : 35,924.20 = 12,864 : x
  2. Step 2: Convert to fraction form
    23,970.31/35,924.20 = 12,864/x
  3. Step 3: Cross multiply
    23,970.31x = 35,924.20 × 12,864
  4. Step 4: Simplify right side
    23,970.31x = 462,128,908.80
  5. Step 5: Solve for x
    x = 462,128,908.80/23,970.31
  6. Step 6: Final answer
    x = 19,279.22

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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.