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Finding the Fourth Proportional to 12,821.45, 17,693.61 and 7,078.91

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Solution

The fourth proportional to 12,821.45, 17,693.61 and 7,078.91 is: 9,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.45 : 17,693.61 = 7,078.91 : x
  2. Step 2: Convert to fraction form
    12,821.45/17,693.61 = 7,078.91/x
  3. Step 3: Cross multiply
    12,821.45x = 17,693.61 × 7,078.91
  4. Step 4: Simplify right side
    12,821.45x = 125,251,384.30
  5. Step 5: Solve for x
    x = 125,251,384.30/12,821.45
  6. Step 6: Final answer
    x = 9,768.90

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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.