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Finding the Fourth Proportional to 23,869.94, 35,783.01 and 8,276.63

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Solution

The fourth proportional to 23,869.94, 35,783.01 and 8,276.63 is: 12,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,869.94 : 35,783.01 = 8,276.63 : x
  2. Step 2: Convert to fraction form
    23,869.94/35,783.01 = 8,276.63/x
  3. Step 3: Cross multiply
    23,869.94x = 35,783.01 × 8,276.63
  4. Step 4: Simplify right side
    23,869.94x = 296,162,555.14
  5. Step 5: Solve for x
    x = 296,162,555.14/23,869.94
  6. Step 6: Final answer
    x = 12,407.35

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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.