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Finding the Fourth Proportional to 13,583.68, 18,745.32 and 7,615.34

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Solution

The fourth proportional to 13,583.68, 18,745.32 and 7,615.34 is: 10,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.68 : 18,745.32 = 7,615.34 : x
  2. Step 2: Convert to fraction form
    13,583.68/18,745.32 = 7,615.34/x
  3. Step 3: Cross multiply
    13,583.68x = 18,745.32 × 7,615.34
  4. Step 4: Simplify right side
    13,583.68x = 142,751,985.21
  5. Step 5: Solve for x
    x = 142,751,985.21/13,583.68
  6. Step 6: Final answer
    x = 10,509.08

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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.