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Finding the Fourth Proportional to 13,041.68, 19,549.20 and 5,141.04

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Solution

The fourth proportional to 13,041.68, 19,549.20 and 5,141.04 is: 7,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.68 : 19,549.20 = 5,141.04 : x
  2. Step 2: Convert to fraction form
    13,041.68/19,549.20 = 5,141.04/x
  3. Step 3: Cross multiply
    13,041.68x = 19,549.20 × 5,141.04
  4. Step 4: Simplify right side
    13,041.68x = 100,503,219.17
  5. Step 5: Solve for x
    x = 100,503,219.17/13,041.68
  6. Step 6: Final answer
    x = 7,706.31

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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.