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Finding the Fourth Proportional to 23,775.75, 35,698.65 and 13,266.30

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Solution

The fourth proportional to 23,775.75, 35,698.65 and 13,266.30 is: 19,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.75 : 35,698.65 = 13,266.30 : x
  2. Step 2: Convert to fraction form
    23,775.75/35,698.65 = 13,266.30/x
  3. Step 3: Cross multiply
    23,775.75x = 35,698.65 × 13,266.30
  4. Step 4: Simplify right side
    23,775.75x = 473,589,000.50
  5. Step 5: Solve for x
    x = 473,589,000.50/23,775.75
  6. Step 6: Final answer
    x = 19,918.99

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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.