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Finding the Fourth Proportional to 17,441, 24,075.56 and 10,729.32

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Solution

The fourth proportional to 17,441, 24,075.56 and 10,729.32 is: 14,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441 : 24,075.56 = 10,729.32 : x
  2. Step 2: Convert to fraction form
    17,441/24,075.56 = 10,729.32/x
  3. Step 3: Cross multiply
    17,441x = 24,075.56 × 10,729.32
  4. Step 4: Simplify right side
    17,441x = 258,314,387.42
  5. Step 5: Solve for x
    x = 258,314,387.42/17,441
  6. Step 6: Final answer
    x = 14,810.76

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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.