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Finding the Fourth Proportional to 11,523.29, 17,289.18 and 9,322.52

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Solution

The fourth proportional to 11,523.29, 17,289.18 and 9,322.52 is: 13,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.29 : 17,289.18 = 9,322.52 : x
  2. Step 2: Convert to fraction form
    11,523.29/17,289.18 = 9,322.52/x
  3. Step 3: Cross multiply
    11,523.29x = 17,289.18 × 9,322.52
  4. Step 4: Simplify right side
    11,523.29x = 161,178,639.89
  5. Step 5: Solve for x
    x = 161,178,639.89/11,523.29
  6. Step 6: Final answer
    x = 13,987.21

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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.