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Finding the Fourth Proportional to 23,533.97, 35,291.57 and 10,377

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Solution

The fourth proportional to 23,533.97, 35,291.57 and 10,377 is: 15,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.97 : 35,291.57 = 10,377 : x
  2. Step 2: Convert to fraction form
    23,533.97/35,291.57 = 10,377/x
  3. Step 3: Cross multiply
    23,533.97x = 35,291.57 × 10,377
  4. Step 4: Simplify right side
    23,533.97x = 366,220,570.01
  5. Step 5: Solve for x
    x = 366,220,570.01/23,533.97
  6. Step 6: Final answer
    x = 15,561.36

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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.