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Finding the Fourth Proportional to 21,147.40, 29,203 and 15,833

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Solution

The fourth proportional to 21,147.40, 29,203 and 15,833 is: 21,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.40 : 29,203 = 15,833 : x
  2. Step 2: Convert to fraction form
    21,147.40/29,203 = 15,833/x
  3. Step 3: Cross multiply
    21,147.40x = 29,203 × 15,833
  4. Step 4: Simplify right side
    21,147.40x = 462,371,099
  5. Step 5: Solve for x
    x = 462,371,099/21,147.40
  6. Step 6: Final answer
    x = 21,864.21

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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.