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Finding the Fourth Proportional to 11,602.58, 17,385.30 and 11,295.05

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Solution

The fourth proportional to 11,602.58, 17,385.30 and 11,295.05 is: 16,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.58 : 17,385.30 = 11,295.05 : x
  2. Step 2: Convert to fraction form
    11,602.58/17,385.30 = 11,295.05/x
  3. Step 3: Cross multiply
    11,602.58x = 17,385.30 × 11,295.05
  4. Step 4: Simplify right side
    11,602.58x = 196,367,745.84
  5. Step 5: Solve for x
    x = 196,367,745.84/11,602.58
  6. Step 6: Final answer
    x = 16,924.50

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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.