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Finding the Fourth Proportional to 23,873.94, 35,811.18 and 8,291.70

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Solution

The fourth proportional to 23,873.94, 35,811.18 and 8,291.70 is: 12,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.94 : 35,811.18 = 8,291.70 : x
  2. Step 2: Convert to fraction form
    23,873.94/35,811.18 = 8,291.70/x
  3. Step 3: Cross multiply
    23,873.94x = 35,811.18 × 8,291.70
  4. Step 4: Simplify right side
    23,873.94x = 296,935,561.21
  5. Step 5: Solve for x
    x = 296,935,561.21/23,873.94
  6. Step 6: Final answer
    x = 12,437.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.