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Finding the Fourth Proportional to 23,970.81, 35,924.96 and 12,864.50

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Solution

The fourth proportional to 23,970.81, 35,924.96 and 12,864.50 is: 19,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.81 : 35,924.96 = 12,864.50 : x
  2. Step 2: Convert to fraction form
    23,970.81/35,924.96 = 12,864.50/x
  3. Step 3: Cross multiply
    23,970.81x = 35,924.96 × 12,864.50
  4. Step 4: Simplify right side
    23,970.81x = 462,156,403.97
  5. Step 5: Solve for x
    x = 462,156,403.97/23,970.81
  6. Step 6: Final answer
    x = 19,279.97

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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.