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Finding the Fourth Proportional to 13,075.25, 19,614.08 and 7,517.84

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Solution

The fourth proportional to 13,075.25, 19,614.08 and 7,517.84 is: 11,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.25 : 19,614.08 = 7,517.84 : x
  2. Step 2: Convert to fraction form
    13,075.25/19,614.08 = 7,517.84/x
  3. Step 3: Cross multiply
    13,075.25x = 19,614.08 × 7,517.84
  4. Step 4: Simplify right side
    13,075.25x = 147,455,435.91
  5. Step 5: Solve for x
    x = 147,455,435.91/13,075.25
  6. Step 6: Final answer
    x = 11,277.45

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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.