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Finding the Fourth Proportional to 12,225.08, 18,312.96 and 5,642.12

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Solution

The fourth proportional to 12,225.08, 18,312.96 and 5,642.12 is: 8,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.08 : 18,312.96 = 5,642.12 : x
  2. Step 2: Convert to fraction form
    12,225.08/18,312.96 = 5,642.12/x
  3. Step 3: Cross multiply
    12,225.08x = 18,312.96 × 5,642.12
  4. Step 4: Simplify right side
    12,225.08x = 103,323,917.88
  5. Step 5: Solve for x
    x = 103,323,917.88/12,225.08
  6. Step 6: Final answer
    x = 8,451.80

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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.