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Finding the Fourth Proportional to 13,820.63, 19,072.46 and 7,533

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Solution

The fourth proportional to 13,820.63, 19,072.46 and 7,533 is: 10,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.63 : 19,072.46 = 7,533 : x
  2. Step 2: Convert to fraction form
    13,820.63/19,072.46 = 7,533/x
  3. Step 3: Cross multiply
    13,820.63x = 19,072.46 × 7,533
  4. Step 4: Simplify right side
    13,820.63x = 143,672,860.01
  5. Step 5: Solve for x
    x = 143,672,860.01/13,820.63
  6. Step 6: Final answer
    x = 10,395.54

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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.