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Finding the Fourth Proportional to 23,707.70, 35,551.95 and 8,117.30

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Solution

The fourth proportional to 23,707.70, 35,551.95 and 8,117.30 is: 12,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.70 : 35,551.95 = 8,117.30 : x
  2. Step 2: Convert to fraction form
    23,707.70/35,551.95 = 8,117.30/x
  3. Step 3: Cross multiply
    23,707.70x = 35,551.95 × 8,117.30
  4. Step 4: Simplify right side
    23,707.70x = 288,585,843.74
  5. Step 5: Solve for x
    x = 288,585,843.74/23,707.70
  6. Step 6: Final answer
    x = 12,172.66

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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.