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Finding the Fourth Proportional to 12,376.43, 17,075.21 and 6,998.22

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Solution

The fourth proportional to 12,376.43, 17,075.21 and 6,998.22 is: 9,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.43 : 17,075.21 = 6,998.22 : x
  2. Step 2: Convert to fraction form
    12,376.43/17,075.21 = 6,998.22/x
  3. Step 3: Cross multiply
    12,376.43x = 17,075.21 × 6,998.22
  4. Step 4: Simplify right side
    12,376.43x = 119,496,041.14
  5. Step 5: Solve for x
    x = 119,496,041.14/12,376.43
  6. Step 6: Final answer
    x = 9,655.13

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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.