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Finding the Fourth Proportional to 12,922.50, 17,830.29 and 7,615.38

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Solution

The fourth proportional to 12,922.50, 17,830.29 and 7,615.38 is: 10,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.50 : 17,830.29 = 7,615.38 : x
  2. Step 2: Convert to fraction form
    12,922.50/17,830.29 = 7,615.38/x
  3. Step 3: Cross multiply
    12,922.50x = 17,830.29 × 7,615.38
  4. Step 4: Simplify right side
    12,922.50x = 135,784,433.86
  5. Step 5: Solve for x
    x = 135,784,433.86/12,922.50
  6. Step 6: Final answer
    x = 10,507.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.