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Finding the Fourth Proportional to 12,210.80, 18,316.20 and 8,322.80

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Solution

The fourth proportional to 12,210.80, 18,316.20 and 8,322.80 is: 12,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.80 : 18,316.20 = 8,322.80 : x
  2. Step 2: Convert to fraction form
    12,210.80/18,316.20 = 8,322.80/x
  3. Step 3: Cross multiply
    12,210.80x = 18,316.20 × 8,322.80
  4. Step 4: Simplify right side
    12,210.80x = 152,442,069.36
  5. Step 5: Solve for x
    x = 152,442,069.36/12,210.80
  6. Step 6: Final answer
    x = 12,484.20

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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.