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Finding the Fourth Proportional to 12,114.84, 16,719.18 and 6,809.64

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Solution

The fourth proportional to 12,114.84, 16,719.18 and 6,809.64 is: 9,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.84 : 16,719.18 = 6,809.64 : x
  2. Step 2: Convert to fraction form
    12,114.84/16,719.18 = 6,809.64/x
  3. Step 3: Cross multiply
    12,114.84x = 16,719.18 × 6,809.64
  4. Step 4: Simplify right side
    12,114.84x = 113,851,596.90
  5. Step 5: Solve for x
    x = 113,851,596.90/12,114.84
  6. Step 6: Final answer
    x = 9,397.70

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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.