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Finding the Fourth Proportional to 13,810.02, 19,057.64 and 7,522.39

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Solution

The fourth proportional to 13,810.02, 19,057.64 and 7,522.39 is: 10,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.02 : 19,057.64 = 7,522.39 : x
  2. Step 2: Convert to fraction form
    13,810.02/19,057.64 = 7,522.39/x
  3. Step 3: Cross multiply
    13,810.02x = 19,057.64 × 7,522.39
  4. Step 4: Simplify right side
    13,810.02x = 143,359,000.56
  5. Step 5: Solve for x
    x = 143,359,000.56/13,810.02
  6. Step 6: Final answer
    x = 10,380.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.