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Finding the Fourth Proportional to 13,496.48, 18,625.21 and 7,446.93

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Solution

The fourth proportional to 13,496.48, 18,625.21 and 7,446.93 is: 10,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.48 : 18,625.21 = 7,446.93 : x
  2. Step 2: Convert to fraction form
    13,496.48/18,625.21 = 7,446.93/x
  3. Step 3: Cross multiply
    13,496.48x = 18,625.21 × 7,446.93
  4. Step 4: Simplify right side
    13,496.48x = 138,700,616.49
  5. Step 5: Solve for x
    x = 138,700,616.49/13,496.48
  6. Step 6: Final answer
    x = 10,276.80

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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.