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Finding the Fourth Proportional to 23,549.39, 35,323.16 and 7,967.01

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Solution

The fourth proportional to 23,549.39, 35,323.16 and 7,967.01 is: 11,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.39 : 35,323.16 = 7,967.01 : x
  2. Step 2: Convert to fraction form
    23,549.39/35,323.16 = 7,967.01/x
  3. Step 3: Cross multiply
    23,549.39x = 35,323.16 × 7,967.01
  4. Step 4: Simplify right side
    23,549.39x = 281,419,929.12
  5. Step 5: Solve for x
    x = 281,419,929.12/23,549.39
  6. Step 6: Final answer
    x = 11,950.20

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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.