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Finding the Fourth Proportional to 13,513.76, 18,649 and 7,545.42

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Solution

The fourth proportional to 13,513.76, 18,649 and 7,545.42 is: 10,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.76 : 18,649 = 7,545.42 : x
  2. Step 2: Convert to fraction form
    13,513.76/18,649 = 7,545.42/x
  3. Step 3: Cross multiply
    13,513.76x = 18,649 × 7,545.42
  4. Step 4: Simplify right side
    13,513.76x = 140,714,537.58
  5. Step 5: Solve for x
    x = 140,714,537.58/13,513.76
  6. Step 6: Final answer
    x = 10,412.69

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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.