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Finding the Fourth Proportional to 12,933.43, 19,367.19 and 8,537.47

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Solution

The fourth proportional to 12,933.43, 19,367.19 and 8,537.47 is: 12,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.43 : 19,367.19 = 8,537.47 : x
  2. Step 2: Convert to fraction form
    12,933.43/19,367.19 = 8,537.47/x
  3. Step 3: Cross multiply
    12,933.43x = 19,367.19 × 8,537.47
  4. Step 4: Simplify right side
    12,933.43x = 165,346,803.61
  5. Step 5: Solve for x
    x = 165,346,803.61/12,933.43
  6. Step 6: Final answer
    x = 12,784.45

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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.