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Finding the Fourth Proportional to 13,553.40, 18,702.18 and 7,584.24

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Solution

The fourth proportional to 13,553.40, 18,702.18 and 7,584.24 is: 10,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.40 : 18,702.18 = 7,584.24 : x
  2. Step 2: Convert to fraction form
    13,553.40/18,702.18 = 7,584.24/x
  3. Step 3: Cross multiply
    13,553.40x = 18,702.18 × 7,584.24
  4. Step 4: Simplify right side
    13,553.40x = 141,841,821.64
  5. Step 5: Solve for x
    x = 141,841,821.64/13,553.40
  6. Step 6: Final answer
    x = 10,465.41

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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.