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Finding the Fourth Proportional to 14,075.97, 19,424.53 and 7,702.53

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Solution

The fourth proportional to 14,075.97, 19,424.53 and 7,702.53 is: 10,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.97 : 19,424.53 = 7,702.53 : x
  2. Step 2: Convert to fraction form
    14,075.97/19,424.53 = 7,702.53/x
  3. Step 3: Cross multiply
    14,075.97x = 19,424.53 × 7,702.53
  4. Step 4: Simplify right side
    14,075.97x = 149,618,025.06
  5. Step 5: Solve for x
    x = 149,618,025.06/14,075.97
  6. Step 6: Final answer
    x = 10,629.33

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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.