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Finding the Fourth Proportional to 19,580.93, 27,009.36 and 11,617.50

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Solution

The fourth proportional to 19,580.93, 27,009.36 and 11,617.50 is: 16,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.93 : 27,009.36 = 11,617.50 : x
  2. Step 2: Convert to fraction form
    19,580.93/27,009.36 = 11,617.50/x
  3. Step 3: Cross multiply
    19,580.93x = 27,009.36 × 11,617.50
  4. Step 4: Simplify right side
    19,580.93x = 313,781,239.80
  5. Step 5: Solve for x
    x = 313,781,239.80/19,580.93
  6. Step 6: Final answer
    x = 16,024.84

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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.