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Finding the Fourth Proportional to 17,684.96, 26,460.64 and 10,542.76

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Solution

The fourth proportional to 17,684.96, 26,460.64 and 10,542.76 is: 15,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.96 : 26,460.64 = 10,542.76 : x
  2. Step 2: Convert to fraction form
    17,684.96/26,460.64 = 10,542.76/x
  3. Step 3: Cross multiply
    17,684.96x = 26,460.64 × 10,542.76
  4. Step 4: Simplify right side
    17,684.96x = 278,968,176.97
  5. Step 5: Solve for x
    x = 278,968,176.97/17,684.96
  6. Step 6: Final answer
    x = 15,774.32

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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.