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Finding the Fourth Proportional to 13,075.42, 19,602.11 and 5,674.31

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Solution

The fourth proportional to 13,075.42, 19,602.11 and 5,674.31 is: 8,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.42 : 19,602.11 = 5,674.31 : x
  2. Step 2: Convert to fraction form
    13,075.42/19,602.11 = 5,674.31/x
  3. Step 3: Cross multiply
    13,075.42x = 19,602.11 × 5,674.31
  4. Step 4: Simplify right side
    13,075.42x = 111,228,322.41
  5. Step 5: Solve for x
    x = 111,228,322.41/13,075.42
  6. Step 6: Final answer
    x = 8,506.67

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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.