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Finding the Fourth Proportional to 13,537.16, 18,680.52 and 7,567.64

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Solution

The fourth proportional to 13,537.16, 18,680.52 and 7,567.64 is: 10,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.16 : 18,680.52 = 7,567.64 : x
  2. Step 2: Convert to fraction form
    13,537.16/18,680.52 = 7,567.64/x
  3. Step 3: Cross multiply
    13,537.16x = 18,680.52 × 7,567.64
  4. Step 4: Simplify right side
    13,537.16x = 141,367,450.37
  5. Step 5: Solve for x
    x = 141,367,450.37/13,537.16
  6. Step 6: Final answer
    x = 10,442.92

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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.