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Finding the Fourth Proportional to 13,085.50, 19,633.50 and 4,766.09

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Solution

The fourth proportional to 13,085.50, 19,633.50 and 4,766.09 is: 7,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.50 : 19,633.50 = 4,766.09 : x
  2. Step 2: Convert to fraction form
    13,085.50/19,633.50 = 4,766.09/x
  3. Step 3: Cross multiply
    13,085.50x = 19,633.50 × 4,766.09
  4. Step 4: Simplify right side
    13,085.50x = 93,575,026.88
  5. Step 5: Solve for x
    x = 93,575,026.88/13,085.50
  6. Step 6: Final answer
    x = 7,151.05

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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.