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Finding the Fourth Proportional to 12,616.83, 17,383.68 and 8,417.79

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Solution

The fourth proportional to 12,616.83, 17,383.68 and 8,417.79 is: 11,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.83 : 17,383.68 = 8,417.79 : x
  2. Step 2: Convert to fraction form
    12,616.83/17,383.68 = 8,417.79/x
  3. Step 3: Cross multiply
    12,616.83x = 17,383.68 × 8,417.79
  4. Step 4: Simplify right side
    12,616.83x = 146,332,167.67
  5. Step 5: Solve for x
    x = 146,332,167.67/12,616.83
  6. Step 6: Final answer
    x = 11,598.17

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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.