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Finding the Fourth Proportional to 11,658.90, 17,488.35 and 11,205.30

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Solution

The fourth proportional to 11,658.90, 17,488.35 and 11,205.30 is: 16,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.90 : 17,488.35 = 11,205.30 : x
  2. Step 2: Convert to fraction form
    11,658.90/17,488.35 = 11,205.30/x
  3. Step 3: Cross multiply
    11,658.90x = 17,488.35 × 11,205.30
  4. Step 4: Simplify right side
    11,658.90x = 195,962,208.26
  5. Step 5: Solve for x
    x = 195,962,208.26/11,658.90
  6. Step 6: Final answer
    x = 16,807.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.