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Finding the Fourth Proportional to 19,730.34, 29,570.85 and 9,872.42

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Solution

The fourth proportional to 19,730.34, 29,570.85 and 9,872.42 is: 14,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.34 : 29,570.85 = 9,872.42 : x
  2. Step 2: Convert to fraction form
    19,730.34/29,570.85 = 9,872.42/x
  3. Step 3: Cross multiply
    19,730.34x = 29,570.85 × 9,872.42
  4. Step 4: Simplify right side
    19,730.34x = 291,935,703.10
  5. Step 5: Solve for x
    x = 291,935,703.10/19,730.34
  6. Step 6: Final answer
    x = 14,796.28

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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.