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Finding the Fourth Proportional to 13,567, 18,723.06 and 7,598.54

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Solution

The fourth proportional to 13,567, 18,723.06 and 7,598.54 is: 10,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567 : 18,723.06 = 7,598.54 : x
  2. Step 2: Convert to fraction form
    13,567/18,723.06 = 7,598.54/x
  3. Step 3: Cross multiply
    13,567x = 18,723.06 × 7,598.54
  4. Step 4: Simplify right side
    13,567x = 142,267,920.33
  5. Step 5: Solve for x
    x = 142,267,920.33/13,567
  6. Step 6: Final answer
    x = 10,486.32

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