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Finding the Fourth Proportional to 13,138.91, 18,122.69 and 7,829.63

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Solution

The fourth proportional to 13,138.91, 18,122.69 and 7,829.63 is: 10,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.91 : 18,122.69 = 7,829.63 : x
  2. Step 2: Convert to fraction form
    13,138.91/18,122.69 = 7,829.63/x
  3. Step 3: Cross multiply
    13,138.91x = 18,122.69 × 7,829.63
  4. Step 4: Simplify right side
    13,138.91x = 141,893,827.54
  5. Step 5: Solve for x
    x = 141,893,827.54/13,138.91
  6. Step 6: Final answer
    x = 10,799.52

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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.