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Finding the Fourth Proportional to 19,784.30, 29,666.87 and 7,310.21

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Solution

The fourth proportional to 19,784.30, 29,666.87 and 7,310.21 is: 10,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.30 : 29,666.87 = 7,310.21 : x
  2. Step 2: Convert to fraction form
    19,784.30/29,666.87 = 7,310.21/x
  3. Step 3: Cross multiply
    19,784.30x = 29,666.87 × 7,310.21
  4. Step 4: Simplify right side
    19,784.30x = 216,870,864.86
  5. Step 5: Solve for x
    x = 216,870,864.86/19,784.30
  6. Step 6: Final answer
    x = 10,961.77

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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.