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Finding the Fourth Proportional to 12,037.20, 18,055.80 and 6,205.20

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Solution

The fourth proportional to 12,037.20, 18,055.80 and 6,205.20 is: 9,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037.20 : 18,055.80 = 6,205.20 : x
  2. Step 2: Convert to fraction form
    12,037.20/18,055.80 = 6,205.20/x
  3. Step 3: Cross multiply
    12,037.20x = 18,055.80 × 6,205.20
  4. Step 4: Simplify right side
    12,037.20x = 112,039,850.16
  5. Step 5: Solve for x
    x = 112,039,850.16/12,037.20
  6. Step 6: Final answer
    x = 9,307.80

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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.