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Finding the Fourth Proportional to 17,784.93, 26,685.14 and 8,431.50

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Solution

The fourth proportional to 17,784.93, 26,685.14 and 8,431.50 is: 12,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.93 : 26,685.14 = 8,431.50 : x
  2. Step 2: Convert to fraction form
    17,784.93/26,685.14 = 8,431.50/x
  3. Step 3: Cross multiply
    17,784.93x = 26,685.14 × 8,431.50
  4. Step 4: Simplify right side
    17,784.93x = 224,995,715.75
  5. Step 5: Solve for x
    x = 224,995,715.75/17,784.93
  6. Step 6: Final answer
    x = 12,650.92

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Why These Related Problems?

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