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Finding the Fourth Proportional to 12,355.80, 18,533.82 and 9,884.48

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Solution

The fourth proportional to 12,355.80, 18,533.82 and 9,884.48 is: 14,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.80 : 18,533.82 = 9,884.48 : x
  2. Step 2: Convert to fraction form
    12,355.80/18,533.82 = 9,884.48/x
  3. Step 3: Cross multiply
    12,355.80x = 18,533.82 × 9,884.48
  4. Step 4: Simplify right side
    12,355.80x = 183,197,173.11
  5. Step 5: Solve for x
    x = 183,197,173.11/12,355.80
  6. Step 6: Final answer
    x = 14,826.82

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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.