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Finding the Fourth Proportional to 13,093.25, 19,642.95 and 4,328.16

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Solution

The fourth proportional to 13,093.25, 19,642.95 and 4,328.16 is: 6,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.25 : 19,642.95 = 4,328.16 : x
  2. Step 2: Convert to fraction form
    13,093.25/19,642.95 = 4,328.16/x
  3. Step 3: Cross multiply
    13,093.25x = 19,642.95 × 4,328.16
  4. Step 4: Simplify right side
    13,093.25x = 85,017,879.58
  5. Step 5: Solve for x
    x = 85,017,879.58/13,093.25
  6. Step 6: Final answer
    x = 6,493.26

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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.