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Finding the Fourth Proportional to 23,962.34, 35,946 and 9,183.75

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Solution

The fourth proportional to 23,962.34, 35,946 and 9,183.75 is: 13,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,962.34 : 35,946 = 9,183.75 : x
  2. Step 2: Convert to fraction form
    23,962.34/35,946 = 9,183.75/x
  3. Step 3: Cross multiply
    23,962.34x = 35,946 × 9,183.75
  4. Step 4: Simplify right side
    23,962.34x = 330,119,077.50
  5. Step 5: Solve for x
    x = 330,119,077.50/23,962.34
  6. Step 6: Final answer
    x = 13,776.58

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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.