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Finding the Fourth Proportional to 13,552.87, 18,702.09 and 7,584.49

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Solution

The fourth proportional to 13,552.87, 18,702.09 and 7,584.49 is: 10,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.87 : 18,702.09 = 7,584.49 : x
  2. Step 2: Convert to fraction form
    13,552.87/18,702.09 = 7,584.49/x
  3. Step 3: Cross multiply
    13,552.87x = 18,702.09 × 7,584.49
  4. Step 4: Simplify right side
    13,552.87x = 141,845,814.58
  5. Step 5: Solve for x
    x = 141,845,814.58/13,552.87
  6. Step 6: Final answer
    x = 10,466.11

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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.