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Finding the Fourth Proportional to 13,967.82, 19,274.58 and 8,302.32

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Solution

The fourth proportional to 13,967.82, 19,274.58 and 8,302.32 is: 11,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.82 : 19,274.58 = 8,302.32 : x
  2. Step 2: Convert to fraction form
    13,967.82/19,274.58 = 8,302.32/x
  3. Step 3: Cross multiply
    13,967.82x = 19,274.58 × 8,302.32
  4. Step 4: Simplify right side
    13,967.82x = 160,023,731.03
  5. Step 5: Solve for x
    x = 160,023,731.03/13,967.82
  6. Step 6: Final answer
    x = 11,456.60

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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.