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Finding the Fourth Proportional to 17,564.34, 24,238.79 and 9,606.57

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Solution

The fourth proportional to 17,564.34, 24,238.79 and 9,606.57 is: 13,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.34 : 24,238.79 = 9,606.57 : x
  2. Step 2: Convert to fraction form
    17,564.34/24,238.79 = 9,606.57/x
  3. Step 3: Cross multiply
    17,564.34x = 24,238.79 × 9,606.57
  4. Step 4: Simplify right side
    17,564.34x = 232,851,635.11
  5. Step 5: Solve for x
    x = 232,851,635.11/17,564.34
  6. Step 6: Final answer
    x = 13,257.06

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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.