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Finding the Fourth Proportional to 12,716.37, 19,075.40 and 4,397.19

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Solution

The fourth proportional to 12,716.37, 19,075.40 and 4,397.19 is: 6,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.37 : 19,075.40 = 4,397.19 : x
  2. Step 2: Convert to fraction form
    12,716.37/19,075.40 = 4,397.19/x
  3. Step 3: Cross multiply
    12,716.37x = 19,075.40 × 4,397.19
  4. Step 4: Simplify right side
    12,716.37x = 83,878,136.14
  5. Step 5: Solve for x
    x = 83,878,136.14/12,716.37
  6. Step 6: Final answer
    x = 6,596.08

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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.