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Finding the Fourth Proportional to 13,448.25, 20,038.70 and 11,976.08

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Solution

The fourth proportional to 13,448.25, 20,038.70 and 11,976.08 is: 17,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.25 : 20,038.70 = 11,976.08 : x
  2. Step 2: Convert to fraction form
    13,448.25/20,038.70 = 11,976.08/x
  3. Step 3: Cross multiply
    13,448.25x = 20,038.70 × 11,976.08
  4. Step 4: Simplify right side
    13,448.25x = 239,985,004.04
  5. Step 5: Solve for x
    x = 239,985,004.04/13,448.25
  6. Step 6: Final answer
    x = 17,845.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.