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Finding the Fourth Proportional to 11,864.16, 17,767.08 and 9,507.60

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Solution

The fourth proportional to 11,864.16, 17,767.08 and 9,507.60 is: 14,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.16 : 17,767.08 = 9,507.60 : x
  2. Step 2: Convert to fraction form
    11,864.16/17,767.08 = 9,507.60/x
  3. Step 3: Cross multiply
    11,864.16x = 17,767.08 × 9,507.60
  4. Step 4: Simplify right side
    11,864.16x = 168,922,289.81
  5. Step 5: Solve for x
    x = 168,922,289.81/11,864.16
  6. Step 6: Final answer
    x = 14,238.03

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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.