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Finding the Fourth Proportional to 16,842, 23,242.44 and 9,390.48

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Solution

The fourth proportional to 16,842, 23,242.44 and 9,390.48 is: 12,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842 : 23,242.44 = 9,390.48 : x
  2. Step 2: Convert to fraction form
    16,842/23,242.44 = 9,390.48/x
  3. Step 3: Cross multiply
    16,842x = 23,242.44 × 9,390.48
  4. Step 4: Simplify right side
    16,842x = 218,257,667.97
  5. Step 5: Solve for x
    x = 218,257,667.97/16,842
  6. Step 6: Final answer
    x = 12,959.13

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Why These Related Problems?

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