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Finding the Fourth Proportional to 23,588.21, 35,385.80 and 7,794.90

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Solution

The fourth proportional to 23,588.21, 35,385.80 and 7,794.90 is: 11,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,588.21 : 35,385.80 = 7,794.90 : x
  2. Step 2: Convert to fraction form
    23,588.21/35,385.80 = 7,794.90/x
  3. Step 3: Cross multiply
    23,588.21x = 35,385.80 × 7,794.90
  4. Step 4: Simplify right side
    23,588.21x = 275,828,733.45
  5. Step 5: Solve for x
    x = 275,828,733.45/23,588.21
  6. Step 6: Final answer
    x = 11,693.50

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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.