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Finding the Fourth Proportional to 13,537.39, 18,682.02 and 7,569.31

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Solution

The fourth proportional to 13,537.39, 18,682.02 and 7,569.31 is: 10,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.39 : 18,682.02 = 7,569.31 : x
  2. Step 2: Convert to fraction form
    13,537.39/18,682.02 = 7,569.31/x
  3. Step 3: Cross multiply
    13,537.39x = 18,682.02 × 7,569.31
  4. Step 4: Simplify right side
    13,537.39x = 141,410,000.81
  5. Step 5: Solve for x
    x = 141,410,000.81/13,537.39
  6. Step 6: Final answer
    x = 10,445.88

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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.