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Finding the Fourth Proportional to 12,180.34, 16,808.54 and 6,802.63

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Solution

The fourth proportional to 12,180.34, 16,808.54 and 6,802.63 is: 9,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.34 : 16,808.54 = 6,802.63 : x
  2. Step 2: Convert to fraction form
    12,180.34/16,808.54 = 6,802.63/x
  3. Step 3: Cross multiply
    12,180.34x = 16,808.54 × 6,802.63
  4. Step 4: Simplify right side
    12,180.34x = 114,342,202.43
  5. Step 5: Solve for x
    x = 114,342,202.43/12,180.34
  6. Step 6: Final answer
    x = 9,387.44

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