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Finding the Fourth Proportional to 17,229, 23,776.56 and 10,161.48

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Solution

The fourth proportional to 17,229, 23,776.56 and 10,161.48 is: 14,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229 : 23,776.56 = 10,161.48 : x
  2. Step 2: Convert to fraction form
    17,229/23,776.56 = 10,161.48/x
  3. Step 3: Cross multiply
    17,229x = 23,776.56 × 10,161.48
  4. Step 4: Simplify right side
    17,229x = 241,605,038.91
  5. Step 5: Solve for x
    x = 241,605,038.91/17,229
  6. Step 6: Final answer
    x = 14,023.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.