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Finding the Fourth Proportional to 12,210.68, 18,303.26 and 5,641.18

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Solution

The fourth proportional to 12,210.68, 18,303.26 and 5,641.18 is: 8,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.68 : 18,303.26 = 5,641.18 : x
  2. Step 2: Convert to fraction form
    12,210.68/18,303.26 = 5,641.18/x
  3. Step 3: Cross multiply
    12,210.68x = 18,303.26 × 5,641.18
  4. Step 4: Simplify right side
    12,210.68x = 103,251,984.25
  5. Step 5: Solve for x
    x = 103,251,984.25/12,210.68
  6. Step 6: Final answer
    x = 8,455.88

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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.