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Finding the Fourth Proportional to 13,514.23, 18,647.85 and 7,544.93

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Solution

The fourth proportional to 13,514.23, 18,647.85 and 7,544.93 is: 10,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.23 : 18,647.85 = 7,544.93 : x
  2. Step 2: Convert to fraction form
    13,514.23/18,647.85 = 7,544.93/x
  3. Step 3: Cross multiply
    13,514.23x = 18,647.85 × 7,544.93
  4. Step 4: Simplify right side
    13,514.23x = 140,696,722.90
  5. Step 5: Solve for x
    x = 140,696,722.90/13,514.23
  6. Step 6: Final answer
    x = 10,411.01

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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.