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Finding the Fourth Proportional to 12,606.91, 17,402.29 and 9,911.09

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Solution

The fourth proportional to 12,606.91, 17,402.29 and 9,911.09 is: 13,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.91 : 17,402.29 = 9,911.09 : x
  2. Step 2: Convert to fraction form
    12,606.91/17,402.29 = 9,911.09/x
  3. Step 3: Cross multiply
    12,606.91x = 17,402.29 × 9,911.09
  4. Step 4: Simplify right side
    12,606.91x = 172,475,662.40
  5. Step 5: Solve for x
    x = 172,475,662.40/12,606.91
  6. Step 6: Final answer
    x = 13,681.04

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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.