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Finding the Fourth Proportional to 23,392, 35,090.36 and 7,596.38

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Solution

The fourth proportional to 23,392, 35,090.36 and 7,596.38 is: 11,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392 : 35,090.36 = 7,596.38 : x
  2. Step 2: Convert to fraction form
    23,392/35,090.36 = 7,596.38/x
  3. Step 3: Cross multiply
    23,392x = 35,090.36 × 7,596.38
  4. Step 4: Simplify right side
    23,392x = 266,559,708.90
  5. Step 5: Solve for x
    x = 266,559,708.90/23,392
  6. Step 6: Final answer
    x = 11,395.34

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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.