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Finding the Fourth Proportional to 23,590, 35,401.20 and 9,739.12

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Solution

The fourth proportional to 23,590, 35,401.20 and 9,739.12 is: 14,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590 : 35,401.20 = 9,739.12 : x
  2. Step 2: Convert to fraction form
    23,590/35,401.20 = 9,739.12/x
  3. Step 3: Cross multiply
    23,590x = 35,401.20 × 9,739.12
  4. Step 4: Simplify right side
    23,590x = 344,776,534.94
  5. Step 5: Solve for x
    x = 344,776,534.94/23,590
  6. Step 6: Final answer
    x = 14,615.37

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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.