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Finding the Fourth Proportional to 12,114.40, 16,718.12 and 6,809.60

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Solution

The fourth proportional to 12,114.40, 16,718.12 and 6,809.60 is: 9,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.40 : 16,718.12 = 6,809.60 : x
  2. Step 2: Convert to fraction form
    12,114.40/16,718.12 = 6,809.60/x
  3. Step 3: Cross multiply
    12,114.40x = 16,718.12 × 6,809.60
  4. Step 4: Simplify right side
    12,114.40x = 113,843,709.95
  5. Step 5: Solve for x
    x = 113,843,709.95/12,114.40
  6. Step 6: Final answer
    x = 9,397.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.