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Finding the Fourth Proportional to 21,190.57, 31,785.86 and 16,514.08

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Solution

The fourth proportional to 21,190.57, 31,785.86 and 16,514.08 is: 24,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.57 : 31,785.86 = 16,514.08 : x
  2. Step 2: Convert to fraction form
    21,190.57/31,785.86 = 16,514.08/x
  3. Step 3: Cross multiply
    21,190.57x = 31,785.86 × 16,514.08
  4. Step 4: Simplify right side
    21,190.57x = 524,914,214.71
  5. Step 5: Solve for x
    x = 524,914,214.71/21,190.57
  6. Step 6: Final answer
    x = 24,771.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.