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Finding the Fourth Proportional to 17,564.43, 24,237.59 and 9,606.39

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Solution

The fourth proportional to 17,564.43, 24,237.59 and 9,606.39 is: 13,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.43 : 24,237.59 = 9,606.39 : x
  2. Step 2: Convert to fraction form
    17,564.43/24,237.59 = 9,606.39/x
  3. Step 3: Cross multiply
    17,564.43x = 24,237.59 × 9,606.39
  4. Step 4: Simplify right side
    17,564.43x = 232,835,742.20
  5. Step 5: Solve for x
    x = 232,835,742.20/17,564.43
  6. Step 6: Final answer
    x = 13,256.09

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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.