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Finding the Fourth Proportional to 14,263.82, 19,682.40 and 8,294.54

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Solution

The fourth proportional to 14,263.82, 19,682.40 and 8,294.54 is: 11,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.82 : 19,682.40 = 8,294.54 : x
  2. Step 2: Convert to fraction form
    14,263.82/19,682.40 = 8,294.54/x
  3. Step 3: Cross multiply
    14,263.82x = 19,682.40 × 8,294.54
  4. Step 4: Simplify right side
    14,263.82x = 163,256,454.10
  5. Step 5: Solve for x
    x = 163,256,454.10/14,263.82
  6. Step 6: Final answer
    x = 11,445.49

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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.