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Finding the Fourth Proportional to 19,527.96, 29,294.10 and 5,678.04

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Solution

The fourth proportional to 19,527.96, 29,294.10 and 5,678.04 is: 8,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.96 : 29,294.10 = 5,678.04 : x
  2. Step 2: Convert to fraction form
    19,527.96/29,294.10 = 5,678.04/x
  3. Step 3: Cross multiply
    19,527.96x = 29,294.10 × 5,678.04
  4. Step 4: Simplify right side
    19,527.96x = 166,333,071.56
  5. Step 5: Solve for x
    x = 166,333,071.56/19,527.96
  6. Step 6: Final answer
    x = 8,517.69

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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.