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Finding the Fourth Proportional to 13,381.48, 18,467.22 and 7,413

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Solution

The fourth proportional to 13,381.48, 18,467.22 and 7,413 is: 10,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.48 : 18,467.22 = 7,413 : x
  2. Step 2: Convert to fraction form
    13,381.48/18,467.22 = 7,413/x
  3. Step 3: Cross multiply
    13,381.48x = 18,467.22 × 7,413
  4. Step 4: Simplify right side
    13,381.48x = 136,897,501.86
  5. Step 5: Solve for x
    x = 136,897,501.86/13,381.48
  6. Step 6: Final answer
    x = 10,230.37

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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.