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Finding the Fourth Proportional to 19,807.43, 29,709.68 and 7,321.63

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Solution

The fourth proportional to 19,807.43, 29,709.68 and 7,321.63 is: 10,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.43 : 29,709.68 = 7,321.63 : x
  2. Step 2: Convert to fraction form
    19,807.43/29,709.68 = 7,321.63/x
  3. Step 3: Cross multiply
    19,807.43x = 29,709.68 × 7,321.63
  4. Step 4: Simplify right side
    19,807.43x = 217,523,228.41
  5. Step 5: Solve for x
    x = 217,523,228.41/19,807.43
  6. Step 6: Final answer
    x = 10,981.90

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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.