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Finding the Fourth Proportional to 13,645.20, 18,829.58 and 7,676.62

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Solution

The fourth proportional to 13,645.20, 18,829.58 and 7,676.62 is: 10,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.20 : 18,829.58 = 7,676.62 : x
  2. Step 2: Convert to fraction form
    13,645.20/18,829.58 = 7,676.62/x
  3. Step 3: Cross multiply
    13,645.20x = 18,829.58 × 7,676.62
  4. Step 4: Simplify right side
    13,645.20x = 144,547,502.54
  5. Step 5: Solve for x
    x = 144,547,502.54/13,645.20
  6. Step 6: Final answer
    x = 10,593.29

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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.