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Finding the Fourth Proportional to 12,573.28, 17,341.41 and 9,214.84

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Solution

The fourth proportional to 12,573.28, 17,341.41 and 9,214.84 is: 12,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.28 : 17,341.41 = 9,214.84 : x
  2. Step 2: Convert to fraction form
    12,573.28/17,341.41 = 9,214.84/x
  3. Step 3: Cross multiply
    12,573.28x = 17,341.41 × 9,214.84
  4. Step 4: Simplify right side
    12,573.28x = 159,798,318.52
  5. Step 5: Solve for x
    x = 159,798,318.52/12,573.28
  6. Step 6: Final answer
    x = 12,709.36

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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.