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Finding the Fourth Proportional to 24,825.30, 34,259.67 and 14,214.30

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Solution

The fourth proportional to 24,825.30, 34,259.67 and 14,214.30 is: 19,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.30 : 34,259.67 = 14,214.30 : x
  2. Step 2: Convert to fraction form
    24,825.30/34,259.67 = 14,214.30/x
  3. Step 3: Cross multiply
    24,825.30x = 34,259.67 × 14,214.30
  4. Step 4: Simplify right side
    24,825.30x = 486,977,227.28
  5. Step 5: Solve for x
    x = 486,977,227.28/24,825.30
  6. Step 6: Final answer
    x = 19,616.17

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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.