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Finding the Fourth Proportional to 13,506.34, 18,616.44 and 9,028.46

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Solution

The fourth proportional to 13,506.34, 18,616.44 and 9,028.46 is: 12,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.34 : 18,616.44 = 9,028.46 : x
  2. Step 2: Convert to fraction form
    13,506.34/18,616.44 = 9,028.46/x
  3. Step 3: Cross multiply
    13,506.34x = 18,616.44 × 9,028.46
  4. Step 4: Simplify right side
    13,506.34x = 168,077,734.17
  5. Step 5: Solve for x
    x = 168,077,734.17/13,506.34
  6. Step 6: Final answer
    x = 12,444.36

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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.