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Finding the Fourth Proportional to 14,355.78, 21,534.69 and 3,825.74

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Solution

The fourth proportional to 14,355.78, 21,534.69 and 3,825.74 is: 5,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355.78 : 21,534.69 = 3,825.74 : x
  2. Step 2: Convert to fraction form
    14,355.78/21,534.69 = 3,825.74/x
  3. Step 3: Cross multiply
    14,355.78x = 21,534.69 × 3,825.74
  4. Step 4: Simplify right side
    14,355.78x = 82,386,135.08
  5. Step 5: Solve for x
    x = 82,386,135.08/14,355.78
  6. Step 6: Final answer
    x = 5,738.88

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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.