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Finding the Fourth Proportional to 17,165.38, 25,752.18 and 7,164.56

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Solution

The fourth proportional to 17,165.38, 25,752.18 and 7,164.56 is: 10,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.38 : 25,752.18 = 7,164.56 : x
  2. Step 2: Convert to fraction form
    17,165.38/25,752.18 = 7,164.56/x
  3. Step 3: Cross multiply
    17,165.38x = 25,752.18 × 7,164.56
  4. Step 4: Simplify right side
    17,165.38x = 184,503,038.74
  5. Step 5: Solve for x
    x = 184,503,038.74/17,165.38
  6. Step 6: Final answer
    x = 10,748.56

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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.