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Finding the Fourth Proportional to 23,689.40, 35,534.10 and 19,830.20

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Solution

The fourth proportional to 23,689.40, 35,534.10 and 19,830.20 is: 29,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.40 : 35,534.10 = 19,830.20 : x
  2. Step 2: Convert to fraction form
    23,689.40/35,534.10 = 19,830.20/x
  3. Step 3: Cross multiply
    23,689.40x = 35,534.10 × 19,830.20
  4. Step 4: Simplify right side
    23,689.40x = 704,648,309.82
  5. Step 5: Solve for x
    x = 704,648,309.82/23,689.40
  6. Step 6: Final answer
    x = 29,745.30

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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.