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Finding the Fourth Proportional to 13,232.34, 18,259.70 and 7,567.34

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Solution

The fourth proportional to 13,232.34, 18,259.70 and 7,567.34 is: 10,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.34 : 18,259.70 = 7,567.34 : x
  2. Step 2: Convert to fraction form
    13,232.34/18,259.70 = 7,567.34/x
  3. Step 3: Cross multiply
    13,232.34x = 18,259.70 × 7,567.34
  4. Step 4: Simplify right side
    13,232.34x = 138,177,229.06
  5. Step 5: Solve for x
    x = 138,177,229.06/13,232.34
  6. Step 6: Final answer
    x = 10,442.39

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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.