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Finding the Fourth Proportional to 12,226.40, 18,339.60 and 7,852.40

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Solution

The fourth proportional to 12,226.40, 18,339.60 and 7,852.40 is: 11,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.40 : 18,339.60 = 7,852.40 : x
  2. Step 2: Convert to fraction form
    12,226.40/18,339.60 = 7,852.40/x
  3. Step 3: Cross multiply
    12,226.40x = 18,339.60 × 7,852.40
  4. Step 4: Simplify right side
    12,226.40x = 144,009,875.04
  5. Step 5: Solve for x
    x = 144,009,875.04/12,226.40
  6. Step 6: Final answer
    x = 11,778.60

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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.