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Finding the Fourth Proportional to 19,730.31, 29,595.42 and 16,253.59

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Solution

The fourth proportional to 19,730.31, 29,595.42 and 16,253.59 is: 24,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.31 : 29,595.42 = 16,253.59 : x
  2. Step 2: Convert to fraction form
    19,730.31/29,595.42 = 16,253.59/x
  3. Step 3: Cross multiply
    19,730.31x = 29,595.42 × 16,253.59
  4. Step 4: Simplify right side
    19,730.31x = 481,031,741.29
  5. Step 5: Solve for x
    x = 481,031,741.29/19,730.31
  6. Step 6: Final answer
    x = 24,380.34

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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.