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Finding the Fourth Proportional to 13,823.06, 20,719.82 and 7,887.16

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Solution

The fourth proportional to 13,823.06, 20,719.82 and 7,887.16 is: 11,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.06 : 20,719.82 = 7,887.16 : x
  2. Step 2: Convert to fraction form
    13,823.06/20,719.82 = 7,887.16/x
  3. Step 3: Cross multiply
    13,823.06x = 20,719.82 × 7,887.16
  4. Step 4: Simplify right side
    13,823.06x = 163,420,535.51
  5. Step 5: Solve for x
    x = 163,420,535.51/13,823.06
  6. Step 6: Final answer
    x = 11,822.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.