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Finding the Fourth Proportional to 12,716.62, 19,075.77 and 4,397.44

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Solution

The fourth proportional to 12,716.62, 19,075.77 and 4,397.44 is: 6,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.62 : 19,075.77 = 4,397.44 : x
  2. Step 2: Convert to fraction form
    12,716.62/19,075.77 = 4,397.44/x
  3. Step 3: Cross multiply
    12,716.62x = 19,075.77 × 4,397.44
  4. Step 4: Simplify right side
    12,716.62x = 83,884,554.03
  5. Step 5: Solve for x
    x = 83,884,554.03/12,716.62
  6. Step 6: Final answer
    x = 6,596.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.