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Finding the Fourth Proportional to 17,564.40, 24,239.16 and 9,606.60

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Solution

The fourth proportional to 17,564.40, 24,239.16 and 9,606.60 is: 13,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.40 : 24,239.16 = 9,606.60 : x
  2. Step 2: Convert to fraction form
    17,564.40/24,239.16 = 9,606.60/x
  3. Step 3: Cross multiply
    17,564.40x = 24,239.16 × 9,606.60
  4. Step 4: Simplify right side
    17,564.40x = 232,855,914.46
  5. Step 5: Solve for x
    x = 232,855,914.46/17,564.40
  6. Step 6: Final answer
    x = 13,257.27

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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.