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Finding the Fourth Proportional to 19,857.32, 29,755.22 and 15,686.98

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Solution

The fourth proportional to 19,857.32, 29,755.22 and 15,686.98 is: 23,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.32 : 29,755.22 = 15,686.98 : x
  2. Step 2: Convert to fraction form
    19,857.32/29,755.22 = 15,686.98/x
  3. Step 3: Cross multiply
    19,857.32x = 29,755.22 × 15,686.98
  4. Step 4: Simplify right side
    19,857.32x = 466,769,388.21
  5. Step 5: Solve for x
    x = 466,769,388.21/19,857.32
  6. Step 6: Final answer
    x = 23,506.16

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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.