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Finding the Fourth Proportional to 19,702.36, 29,495.22 and 13,105.72

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Solution

The fourth proportional to 19,702.36, 29,495.22 and 13,105.72 is: 19,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.36 : 29,495.22 = 13,105.72 : x
  2. Step 2: Convert to fraction form
    19,702.36/29,495.22 = 13,105.72/x
  3. Step 3: Cross multiply
    19,702.36x = 29,495.22 × 13,105.72
  4. Step 4: Simplify right side
    19,702.36x = 386,556,094.66
  5. Step 5: Solve for x
    x = 386,556,094.66/19,702.36
  6. Step 6: Final answer
    x = 19,619.79

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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.