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Finding the Fourth Proportional to 13,552.65, 18,702.90 and 7,584.57

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Solution

The fourth proportional to 13,552.65, 18,702.90 and 7,584.57 is: 10,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.65 : 18,702.90 = 7,584.57 : x
  2. Step 2: Convert to fraction form
    13,552.65/18,702.90 = 7,584.57/x
  3. Step 3: Cross multiply
    13,552.65x = 18,702.90 × 7,584.57
  4. Step 4: Simplify right side
    13,552.65x = 141,853,454.25
  5. Step 5: Solve for x
    x = 141,853,454.25/13,552.65
  6. Step 6: Final answer
    x = 10,466.84

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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.