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Finding the Fourth Proportional to 13,446.57, 18,556.62 and 7,478.63

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Solution

The fourth proportional to 13,446.57, 18,556.62 and 7,478.63 is: 10,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.57 : 18,556.62 = 7,478.63 : x
  2. Step 2: Convert to fraction form
    13,446.57/18,556.62 = 7,478.63/x
  3. Step 3: Cross multiply
    13,446.57x = 18,556.62 × 7,478.63
  4. Step 4: Simplify right side
    13,446.57x = 138,778,002.25
  5. Step 5: Solve for x
    x = 138,778,002.25/13,446.57
  6. Step 6: Final answer
    x = 10,320.70

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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.