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Finding the Fourth Proportional to 23,870.48, 35,790.96 and 8,074

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Solution

The fourth proportional to 23,870.48, 35,790.96 and 8,074 is: 12,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.48 : 35,790.96 = 8,074 : x
  2. Step 2: Convert to fraction form
    23,870.48/35,790.96 = 8,074/x
  3. Step 3: Cross multiply
    23,870.48x = 35,790.96 × 8,074
  4. Step 4: Simplify right side
    23,870.48x = 288,976,211.04
  5. Step 5: Solve for x
    x = 288,976,211.04/23,870.48
  6. Step 6: Final answer
    x = 12,106.01

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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.