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Finding the Fourth Proportional to 12,815.72, 17,686.50 and 7,227.08

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Solution

The fourth proportional to 12,815.72, 17,686.50 and 7,227.08 is: 9,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.72 : 17,686.50 = 7,227.08 : x
  2. Step 2: Convert to fraction form
    12,815.72/17,686.50 = 7,227.08/x
  3. Step 3: Cross multiply
    12,815.72x = 17,686.50 × 7,227.08
  4. Step 4: Simplify right side
    12,815.72x = 127,821,750.42
  5. Step 5: Solve for x
    x = 127,821,750.42/12,815.72
  6. Step 6: Final answer
    x = 9,973.83

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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.