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Finding the Fourth Proportional to 23,795.16, 35,696.76 and 8,209.14

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Solution

The fourth proportional to 23,795.16, 35,696.76 and 8,209.14 is: 12,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,795.16 : 35,696.76 = 8,209.14 : x
  2. Step 2: Convert to fraction form
    23,795.16/35,696.76 = 8,209.14/x
  3. Step 3: Cross multiply
    23,795.16x = 35,696.76 × 8,209.14
  4. Step 4: Simplify right side
    23,795.16x = 293,039,700.39
  5. Step 5: Solve for x
    x = 293,039,700.39/23,795.16
  6. Step 6: Final answer
    x = 12,315.10

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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.