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Finding the Fourth Proportional to 14,638.06, 21,978.96 and 14,419.36

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Solution

The fourth proportional to 14,638.06, 21,978.96 and 14,419.36 is: 21,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.06 : 21,978.96 = 14,419.36 : x
  2. Step 2: Convert to fraction form
    14,638.06/21,978.96 = 14,419.36/x
  3. Step 3: Cross multiply
    14,638.06x = 21,978.96 × 14,419.36
  4. Step 4: Simplify right side
    14,638.06x = 316,922,591.18
  5. Step 5: Solve for x
    x = 316,922,591.18/14,638.06
  6. Step 6: Final answer
    x = 21,650.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.