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Finding the Fourth Proportional to 12,230.80, 18,346.20 and 6,386.05

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Solution

The fourth proportional to 12,230.80, 18,346.20 and 6,386.05 is: 9,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.80 : 18,346.20 = 6,386.05 : x
  2. Step 2: Convert to fraction form
    12,230.80/18,346.20 = 6,386.05/x
  3. Step 3: Cross multiply
    12,230.80x = 18,346.20 × 6,386.05
  4. Step 4: Simplify right side
    12,230.80x = 117,159,750.51
  5. Step 5: Solve for x
    x = 117,159,750.51/12,230.80
  6. Step 6: Final answer
    x = 9,579.08

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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.