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Finding the Fourth Proportional to 13,781.67, 19,009.06 and 9,309.25

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Solution

The fourth proportional to 13,781.67, 19,009.06 and 9,309.25 is: 12,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.67 : 19,009.06 = 9,309.25 : x
  2. Step 2: Convert to fraction form
    13,781.67/19,009.06 = 9,309.25/x
  3. Step 3: Cross multiply
    13,781.67x = 19,009.06 × 9,309.25
  4. Step 4: Simplify right side
    13,781.67x = 176,960,091.81
  5. Step 5: Solve for x
    x = 176,960,091.81/13,781.67
  6. Step 6: Final answer
    x = 12,840.25

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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.