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Finding the Fourth Proportional to 20,055.54, 30,137.84 and 10,702.17

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Solution

The fourth proportional to 20,055.54, 30,137.84 and 10,702.17 is: 16,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055.54 : 30,137.84 = 10,702.17 : x
  2. Step 2: Convert to fraction form
    20,055.54/30,137.84 = 10,702.17/x
  3. Step 3: Cross multiply
    20,055.54x = 30,137.84 × 10,702.17
  4. Step 4: Simplify right side
    20,055.54x = 322,540,287.11
  5. Step 5: Solve for x
    x = 322,540,287.11/20,055.54
  6. Step 6: Final answer
    x = 16,082.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.