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Finding the Fourth Proportional to 23,696.65, 35,565.43 and 9,664.42

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Solution

The fourth proportional to 23,696.65, 35,565.43 and 9,664.42 is: 14,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.65 : 35,565.43 = 9,664.42 : x
  2. Step 2: Convert to fraction form
    23,696.65/35,565.43 = 9,664.42/x
  3. Step 3: Cross multiply
    23,696.65x = 35,565.43 × 9,664.42
  4. Step 4: Simplify right side
    23,696.65x = 343,719,075.17
  5. Step 5: Solve for x
    x = 343,719,075.17/23,696.65
  6. Step 6: Final answer
    x = 14,504.96

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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.