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Finding the Fourth Proportional to 17,460.48, 26,184 and 5,770.56

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Solution

The fourth proportional to 17,460.48, 26,184 and 5,770.56 is: 8,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460.48 : 26,184 = 5,770.56 : x
  2. Step 2: Convert to fraction form
    17,460.48/26,184 = 5,770.56/x
  3. Step 3: Cross multiply
    17,460.48x = 26,184 × 5,770.56
  4. Step 4: Simplify right side
    17,460.48x = 151,096,343.04
  5. Step 5: Solve for x
    x = 151,096,343.04/17,460.48
  6. Step 6: Final answer
    x = 8,653.62

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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.