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Finding the Fourth Proportional to 21,424.28, 32,101.86 and 13,199

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Solution

The fourth proportional to 21,424.28, 32,101.86 and 13,199 is: 19,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.28 : 32,101.86 = 13,199 : x
  2. Step 2: Convert to fraction form
    21,424.28/32,101.86 = 13,199/x
  3. Step 3: Cross multiply
    21,424.28x = 32,101.86 × 13,199
  4. Step 4: Simplify right side
    21,424.28x = 423,712,450.14
  5. Step 5: Solve for x
    x = 423,712,450.14/21,424.28
  6. Step 6: Final answer
    x = 19,777.21

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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.