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Finding the Fourth Proportional to 23,899.74, 35,854.16 and 11,420.74

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Solution

The fourth proportional to 23,899.74, 35,854.16 and 11,420.74 is: 17,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,899.74 : 35,854.16 = 11,420.74 : x
  2. Step 2: Convert to fraction form
    23,899.74/35,854.16 = 11,420.74/x
  3. Step 3: Cross multiply
    23,899.74x = 35,854.16 × 11,420.74
  4. Step 4: Simplify right side
    23,899.74x = 409,481,039.28
  5. Step 5: Solve for x
    x = 409,481,039.28/23,899.74
  6. Step 6: Final answer
    x = 17,133.28

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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.