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Finding the Fourth Proportional to 14,562.40, 21,832.80 and 6,235.60

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Solution

The fourth proportional to 14,562.40, 21,832.80 and 6,235.60 is: 9,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.40 : 21,832.80 = 6,235.60 : x
  2. Step 2: Convert to fraction form
    14,562.40/21,832.80 = 6,235.60/x
  3. Step 3: Cross multiply
    14,562.40x = 21,832.80 × 6,235.60
  4. Step 4: Simplify right side
    14,562.40x = 136,140,607.68
  5. Step 5: Solve for x
    x = 136,140,607.68/14,562.40
  6. Step 6: Final answer
    x = 9,348.78

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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.