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Finding the Fourth Proportional to 13,506.33, 18,639.12 and 7,537.88

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Solution

The fourth proportional to 13,506.33, 18,639.12 and 7,537.88 is: 10,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.33 : 18,639.12 = 7,537.88 : x
  2. Step 2: Convert to fraction form
    13,506.33/18,639.12 = 7,537.88/x
  3. Step 3: Cross multiply
    13,506.33x = 18,639.12 × 7,537.88
  4. Step 4: Simplify right side
    13,506.33x = 140,499,356.67
  5. Step 5: Solve for x
    x = 140,499,356.67/13,506.33
  6. Step 6: Final answer
    x = 10,402.48

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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.