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Finding the Fourth Proportional to 13,644.96, 18,829.94 and 7,676.47

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Solution

The fourth proportional to 13,644.96, 18,829.94 and 7,676.47 is: 10,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.96 : 18,829.94 = 7,676.47 : x
  2. Step 2: Convert to fraction form
    13,644.96/18,829.94 = 7,676.47/x
  3. Step 3: Cross multiply
    13,644.96x = 18,829.94 × 7,676.47
  4. Step 4: Simplify right side
    13,644.96x = 144,547,454.67
  5. Step 5: Solve for x
    x = 144,547,454.67/13,644.96
  6. Step 6: Final answer
    x = 10,593.47

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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.