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Finding the Fourth Proportional to 17,564.12, 24,238.32 and 9,606.26

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Solution

The fourth proportional to 17,564.12, 24,238.32 and 9,606.26 is: 13,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.12 : 24,238.32 = 9,606.26 : x
  2. Step 2: Convert to fraction form
    17,564.12/24,238.32 = 9,606.26/x
  3. Step 3: Cross multiply
    17,564.12x = 24,238.32 × 9,606.26
  4. Step 4: Simplify right side
    17,564.12x = 232,839,603.88
  5. Step 5: Solve for x
    x = 232,839,603.88/17,564.12
  6. Step 6: Final answer
    x = 13,256.55

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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.