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Finding the Fourth Proportional to 12,784.80, 17,632.80 and 9,793.20

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Solution

The fourth proportional to 12,784.80, 17,632.80 and 9,793.20 is: 13,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.80 : 17,632.80 = 9,793.20 : x
  2. Step 2: Convert to fraction form
    12,784.80/17,632.80 = 9,793.20/x
  3. Step 3: Cross multiply
    12,784.80x = 17,632.80 × 9,793.20
  4. Step 4: Simplify right side
    12,784.80x = 172,681,536.96
  5. Step 5: Solve for x
    x = 172,681,536.96/12,784.80
  6. Step 6: Final answer
    x = 13,506.78

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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.