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Finding the Fourth Proportional to 23,904.40, 35,843.10 and 9,113.80

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Solution

The fourth proportional to 23,904.40, 35,843.10 and 9,113.80 is: 13,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,904.40 : 35,843.10 = 9,113.80 : x
  2. Step 2: Convert to fraction form
    23,904.40/35,843.10 = 9,113.80/x
  3. Step 3: Cross multiply
    23,904.40x = 35,843.10 × 9,113.80
  4. Step 4: Simplify right side
    23,904.40x = 326,666,844.78
  5. Step 5: Solve for x
    x = 326,666,844.78/23,904.40
  6. Step 6: Final answer
    x = 13,665.55

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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.