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Finding the Fourth Proportional to 17,684.68, 24,400.40 and 10,514.19

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Solution

The fourth proportional to 17,684.68, 24,400.40 and 10,514.19 is: 14,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.68 : 24,400.40 = 10,514.19 : x
  2. Step 2: Convert to fraction form
    17,684.68/24,400.40 = 10,514.19/x
  3. Step 3: Cross multiply
    17,684.68x = 24,400.40 × 10,514.19
  4. Step 4: Simplify right side
    17,684.68x = 256,550,441.68
  5. Step 5: Solve for x
    x = 256,550,441.68/17,684.68
  6. Step 6: Final answer
    x = 14,506.93

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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.