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Finding the Fourth Proportional to 13,135, 18,121.92 and 7,829.08

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Solution

The fourth proportional to 13,135, 18,121.92 and 7,829.08 is: 10,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135 : 18,121.92 = 7,829.08 : x
  2. Step 2: Convert to fraction form
    13,135/18,121.92 = 7,829.08/x
  3. Step 3: Cross multiply
    13,135x = 18,121.92 × 7,829.08
  4. Step 4: Simplify right side
    13,135x = 141,877,961.43
  5. Step 5: Solve for x
    x = 141,877,961.43/13,135
  6. Step 6: Final answer
    x = 10,801.52

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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.