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Finding the Fourth Proportional to 19,732.02, 29,598.16 and 4,941

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Solution

The fourth proportional to 19,732.02, 29,598.16 and 4,941 is: 7,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.02 : 29,598.16 = 4,941 : x
  2. Step 2: Convert to fraction form
    19,732.02/29,598.16 = 4,941/x
  3. Step 3: Cross multiply
    19,732.02x = 29,598.16 × 4,941
  4. Step 4: Simplify right side
    19,732.02x = 146,244,508.56
  5. Step 5: Solve for x
    x = 146,244,508.56/19,732.02
  6. Step 6: Final answer
    x = 7,411.53

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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.