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Finding the Fourth Proportional to 12,828.57, 17,699.27 and 7,162.40

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Solution

The fourth proportional to 12,828.57, 17,699.27 and 7,162.40 is: 9,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.57 : 17,699.27 = 7,162.40 : x
  2. Step 2: Convert to fraction form
    12,828.57/17,699.27 = 7,162.40/x
  3. Step 3: Cross multiply
    12,828.57x = 17,699.27 × 7,162.40
  4. Step 4: Simplify right side
    12,828.57x = 126,769,127.14
  5. Step 5: Solve for x
    x = 126,769,127.14/12,828.57
  6. Step 6: Final answer
    x = 9,881.78

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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.