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Finding the Fourth Proportional to 12,312.36, 16,990.82 and 6,723.40

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Solution

The fourth proportional to 12,312.36, 16,990.82 and 6,723.40 is: 9,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.36 : 16,990.82 = 6,723.40 : x
  2. Step 2: Convert to fraction form
    12,312.36/16,990.82 = 6,723.40/x
  3. Step 3: Cross multiply
    12,312.36x = 16,990.82 × 6,723.40
  4. Step 4: Simplify right side
    12,312.36x = 114,236,079.19
  5. Step 5: Solve for x
    x = 114,236,079.19/12,312.36
  6. Step 6: Final answer
    x = 9,278.16

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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.