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Finding the Fourth Proportional to 17,464.14, 24,099.86 and 9,506.18

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Solution

The fourth proportional to 17,464.14, 24,099.86 and 9,506.18 is: 13,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.14 : 24,099.86 = 9,506.18 : x
  2. Step 2: Convert to fraction form
    17,464.14/24,099.86 = 9,506.18/x
  3. Step 3: Cross multiply
    17,464.14x = 24,099.86 × 9,506.18
  4. Step 4: Simplify right side
    17,464.14x = 229,097,439.10
  5. Step 5: Solve for x
    x = 229,097,439.10/17,464.14
  6. Step 6: Final answer
    x = 13,118.16

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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.