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Finding the Fourth Proportional to 16,075.74, 24,117.41 and 6,710.56

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Solution

The fourth proportional to 16,075.74, 24,117.41 and 6,710.56 is: 10,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.74 : 24,117.41 = 6,710.56 : x
  2. Step 2: Convert to fraction form
    16,075.74/24,117.41 = 6,710.56/x
  3. Step 3: Cross multiply
    16,075.74x = 24,117.41 × 6,710.56
  4. Step 4: Simplify right side
    16,075.74x = 161,841,283.33
  5. Step 5: Solve for x
    x = 161,841,283.33/16,075.74
  6. Step 6: Final answer
    x = 10,067.42

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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.