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Finding the Fourth Proportional to 17,564.34, 26,348.25 and 7,572.42

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Solution

The fourth proportional to 17,564.34, 26,348.25 and 7,572.42 is: 11,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.34 : 26,348.25 = 7,572.42 : x
  2. Step 2: Convert to fraction form
    17,564.34/26,348.25 = 7,572.42/x
  3. Step 3: Cross multiply
    17,564.34x = 26,348.25 × 7,572.42
  4. Step 4: Simplify right side
    17,564.34x = 199,520,015.27
  5. Step 5: Solve for x
    x = 199,520,015.27/17,564.34
  6. Step 6: Final answer
    x = 11,359.38

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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.