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Finding the Fourth Proportional to 13,702.84, 18,910.60 and 8,325.32

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Solution

The fourth proportional to 13,702.84, 18,910.60 and 8,325.32 is: 11,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.84 : 18,910.60 = 8,325.32 : x
  2. Step 2: Convert to fraction form
    13,702.84/18,910.60 = 8,325.32/x
  3. Step 3: Cross multiply
    13,702.84x = 18,910.60 × 8,325.32
  4. Step 4: Simplify right side
    13,702.84x = 157,436,681.03
  5. Step 5: Solve for x
    x = 157,436,681.03/13,702.84
  6. Step 6: Final answer
    x = 11,489.35

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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.