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Finding the Fourth Proportional to 17,474.10, 24,114.58 and 9,516.36

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Solution

The fourth proportional to 17,474.10, 24,114.58 and 9,516.36 is: 13,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.10 : 24,114.58 = 9,516.36 : x
  2. Step 2: Convert to fraction form
    17,474.10/24,114.58 = 9,516.36/x
  3. Step 3: Cross multiply
    17,474.10x = 24,114.58 × 9,516.36
  4. Step 4: Simplify right side
    17,474.10x = 229,483,024.53
  5. Step 5: Solve for x
    x = 229,483,024.53/17,474.10
  6. Step 6: Final answer
    x = 13,132.75

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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.