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Finding the Fourth Proportional to 13,993, 19,310.40 and 8,407.24

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Solution

The fourth proportional to 13,993, 19,310.40 and 8,407.24 is: 11,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993 : 19,310.40 = 8,407.24 : x
  2. Step 2: Convert to fraction form
    13,993/19,310.40 = 8,407.24/x
  3. Step 3: Cross multiply
    13,993x = 19,310.40 × 8,407.24
  4. Step 4: Simplify right side
    13,993x = 162,347,167.30
  5. Step 5: Solve for x
    x = 162,347,167.30/13,993
  6. Step 6: Final answer
    x = 11,602.03

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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.