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Finding the Fourth Proportional to 21,493, 29,663.58 and 13,114.36

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Solution

The fourth proportional to 21,493, 29,663.58 and 13,114.36 is: 18,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493 : 29,663.58 = 13,114.36 : x
  2. Step 2: Convert to fraction form
    21,493/29,663.58 = 13,114.36/x
  3. Step 3: Cross multiply
    21,493x = 29,663.58 × 13,114.36
  4. Step 4: Simplify right side
    21,493x = 389,018,867.01
  5. Step 5: Solve for x
    x = 389,018,867.01/21,493
  6. Step 6: Final answer
    x = 18,099.79

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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.