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Finding the Fourth Proportional to 12,435.65, 18,649.48 and 4,114.11

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Solution

The fourth proportional to 12,435.65, 18,649.48 and 4,114.11 is: 6,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.65 : 18,649.48 = 4,114.11 : x
  2. Step 2: Convert to fraction form
    12,435.65/18,649.48 = 4,114.11/x
  3. Step 3: Cross multiply
    12,435.65x = 18,649.48 × 4,114.11
  4. Step 4: Simplify right side
    12,435.65x = 76,726,012.16
  5. Step 5: Solve for x
    x = 76,726,012.16/12,435.65
  6. Step 6: Final answer
    x = 6,169.84

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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.