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Finding the Fourth Proportional to 13,057.84, 19,559.40 and 10,271.29

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Solution

The fourth proportional to 13,057.84, 19,559.40 and 10,271.29 is: 15,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.84 : 19,559.40 = 10,271.29 : x
  2. Step 2: Convert to fraction form
    13,057.84/19,559.40 = 10,271.29/x
  3. Step 3: Cross multiply
    13,057.84x = 19,559.40 × 10,271.29
  4. Step 4: Simplify right side
    13,057.84x = 200,900,269.63
  5. Step 5: Solve for x
    x = 200,900,269.63/13,057.84
  6. Step 6: Final answer
    x = 15,385.41

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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.