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Finding the Fourth Proportional to 13,702.19, 18,920.57 and 8,675.28

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Solution

The fourth proportional to 13,702.19, 18,920.57 and 8,675.28 is: 11,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.19 : 18,920.57 = 8,675.28 : x
  2. Step 2: Convert to fraction form
    13,702.19/18,920.57 = 8,675.28/x
  3. Step 3: Cross multiply
    13,702.19x = 18,920.57 × 8,675.28
  4. Step 4: Simplify right side
    13,702.19x = 164,141,199.13
  5. Step 5: Solve for x
    x = 164,141,199.13/13,702.19
  6. Step 6: Final answer
    x = 11,979.20

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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.