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Finding the Fourth Proportional to 14,562.54, 21,825.56 and 6,232.80

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Solution

The fourth proportional to 14,562.54, 21,825.56 and 6,232.80 is: 9,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.54 : 21,825.56 = 6,232.80 : x
  2. Step 2: Convert to fraction form
    14,562.54/21,825.56 = 6,232.80/x
  3. Step 3: Cross multiply
    14,562.54x = 21,825.56 × 6,232.80
  4. Step 4: Simplify right side
    14,562.54x = 136,034,350.37
  5. Step 5: Solve for x
    x = 136,034,350.37/14,562.54
  6. Step 6: Final answer
    x = 9,341.39

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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.