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Finding the Fourth Proportional to 23,618.88, 35,433.60 and 9,768

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Solution

The fourth proportional to 23,618.88, 35,433.60 and 9,768 is: 14,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618.88 : 35,433.60 = 9,768 : x
  2. Step 2: Convert to fraction form
    23,618.88/35,433.60 = 9,768/x
  3. Step 3: Cross multiply
    23,618.88x = 35,433.60 × 9,768
  4. Step 4: Simplify right side
    23,618.88x = 346,115,404.80
  5. Step 5: Solve for x
    x = 346,115,404.80/23,618.88
  6. Step 6: Final answer
    x = 14,654.18

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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.