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Finding the Fourth Proportional to 19,654.24, 29,483.16 and 5,614.24

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Solution

The fourth proportional to 19,654.24, 29,483.16 and 5,614.24 is: 8,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.24 : 29,483.16 = 5,614.24 : x
  2. Step 2: Convert to fraction form
    19,654.24/29,483.16 = 5,614.24/x
  3. Step 3: Cross multiply
    19,654.24x = 29,483.16 × 5,614.24
  4. Step 4: Simplify right side
    19,654.24x = 165,525,536.20
  5. Step 5: Solve for x
    x = 165,525,536.20/19,654.24
  6. Step 6: Final answer
    x = 8,421.87

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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.