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Finding the Fourth Proportional to 12,114.99, 16,718.67 and 6,810.30

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Solution

The fourth proportional to 12,114.99, 16,718.67 and 6,810.30 is: 9,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.99 : 16,718.67 = 6,810.30 : x
  2. Step 2: Convert to fraction form
    12,114.99/16,718.67 = 6,810.30/x
  3. Step 3: Cross multiply
    12,114.99x = 16,718.67 × 6,810.30
  4. Step 4: Simplify right side
    12,114.99x = 113,859,158.30
  5. Step 5: Solve for x
    x = 113,859,158.30/12,114.99
  6. Step 6: Final answer
    x = 9,398.20

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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.