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Finding the Fourth Proportional to 19,702.12, 29,564.22 and 10,467.88

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Solution

The fourth proportional to 19,702.12, 29,564.22 and 10,467.88 is: 15,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.12 : 29,564.22 = 10,467.88 : x
  2. Step 2: Convert to fraction form
    19,702.12/29,564.22 = 10,467.88/x
  3. Step 3: Cross multiply
    19,702.12x = 29,564.22 × 10,467.88
  4. Step 4: Simplify right side
    19,702.12x = 309,474,707.25
  5. Step 5: Solve for x
    x = 309,474,707.25/19,702.12
  6. Step 6: Final answer
    x = 15,707.69

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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.