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Finding the Fourth Proportional to 30,354.24, 41,892.96 and 17,784

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Solution

The fourth proportional to 30,354.24, 41,892.96 and 17,784 is: 24,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,354.24 : 41,892.96 = 17,784 : x
  2. Step 2: Convert to fraction form
    30,354.24/41,892.96 = 17,784/x
  3. Step 3: Cross multiply
    30,354.24x = 41,892.96 × 17,784
  4. Step 4: Simplify right side
    30,354.24x = 745,024,400.64
  5. Step 5: Solve for x
    x = 745,024,400.64/30,354.24
  6. Step 6: Final answer
    x = 24,544.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.