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Finding the Fourth Proportional to 17,628, 26,446.40 and 5,316

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Solution

The fourth proportional to 17,628, 26,446.40 and 5,316 is: 7,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628 : 26,446.40 = 5,316 : x
  2. Step 2: Convert to fraction form
    17,628/26,446.40 = 5,316/x
  3. Step 3: Cross multiply
    17,628x = 26,446.40 × 5,316
  4. Step 4: Simplify right side
    17,628x = 140,589,062.40
  5. Step 5: Solve for x
    x = 140,589,062.40/17,628
  6. Step 6: Final answer
    x = 7,975.33

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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.