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Finding the Fourth Proportional to 13,213.59, 19,803.29 and 10,082.04

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Solution

The fourth proportional to 13,213.59, 19,803.29 and 10,082.04 is: 15,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.59 : 19,803.29 = 10,082.04 : x
  2. Step 2: Convert to fraction form
    13,213.59/19,803.29 = 10,082.04/x
  3. Step 3: Cross multiply
    13,213.59x = 19,803.29 × 10,082.04
  4. Step 4: Simplify right side
    13,213.59x = 199,657,511.50
  5. Step 5: Solve for x
    x = 199,657,511.50/13,213.59
  6. Step 6: Final answer
    x = 15,110.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.