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Finding the Fourth Proportional to 13,967.25, 19,276.44 and 8,302.05

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Solution

The fourth proportional to 13,967.25, 19,276.44 and 8,302.05 is: 11,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.25 : 19,276.44 = 8,302.05 : x
  2. Step 2: Convert to fraction form
    13,967.25/19,276.44 = 8,302.05/x
  3. Step 3: Cross multiply
    13,967.25x = 19,276.44 × 8,302.05
  4. Step 4: Simplify right side
    13,967.25x = 160,033,968.70
  5. Step 5: Solve for x
    x = 160,033,968.70/13,967.25
  6. Step 6: Final answer
    x = 11,457.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.