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Finding the Fourth Proportional to 11,637.36, 17,478.42 and 9,975.24

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Solution

The fourth proportional to 11,637.36, 17,478.42 and 9,975.24 is: 14,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.36 : 17,478.42 = 9,975.24 : x
  2. Step 2: Convert to fraction form
    11,637.36/17,478.42 = 9,975.24/x
  3. Step 3: Cross multiply
    11,637.36x = 17,478.42 × 9,975.24
  4. Step 4: Simplify right side
    11,637.36x = 174,351,434.32
  5. Step 5: Solve for x
    x = 174,351,434.32/11,637.36
  6. Step 6: Final answer
    x = 14,982.04

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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.