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Finding the Fourth Proportional to 13,003.30, 19,472.55 and 10,411.30

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Solution

The fourth proportional to 13,003.30, 19,472.55 and 10,411.30 is: 15,591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.30 : 19,472.55 = 10,411.30 : x
  2. Step 2: Convert to fraction form
    13,003.30/19,472.55 = 10,411.30/x
  3. Step 3: Cross multiply
    13,003.30x = 19,472.55 × 10,411.30
  4. Step 4: Simplify right side
    13,003.30x = 202,734,559.82
  5. Step 5: Solve for x
    x = 202,734,559.82/13,003.30
  6. Step 6: Final answer
    x = 15,591.01

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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.