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Finding the Fourth Proportional to 12,435.84, 18,648 and 4,114.32

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Solution

The fourth proportional to 12,435.84, 18,648 and 4,114.32 is: 6,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.84 : 18,648 = 4,114.32 : x
  2. Step 2: Convert to fraction form
    12,435.84/18,648 = 4,114.32/x
  3. Step 3: Cross multiply
    12,435.84x = 18,648 × 4,114.32
  4. Step 4: Simplify right side
    12,435.84x = 76,723,839.36
  5. Step 5: Solve for x
    x = 76,723,839.36/12,435.84
  6. Step 6: Final answer
    x = 6,169.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.