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Finding the Fourth Proportional to 11,075.76, 16,570.58 and 10,144.94

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Solution

The fourth proportional to 11,075.76, 16,570.58 and 10,144.94 is: 15,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.76 : 16,570.58 = 10,144.94 : x
  2. Step 2: Convert to fraction form
    11,075.76/16,570.58 = 10,144.94/x
  3. Step 3: Cross multiply
    11,075.76x = 16,570.58 × 10,144.94
  4. Step 4: Simplify right side
    11,075.76x = 168,107,406.29
  5. Step 5: Solve for x
    x = 168,107,406.29/11,075.76
  6. Step 6: Final answer
    x = 15,177.96

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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.