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Finding the Fourth Proportional to 12,827.20, 17,701.48 and 7,238.20

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Solution

The fourth proportional to 12,827.20, 17,701.48 and 7,238.20 is: 9,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.20 : 17,701.48 = 7,238.20 : x
  2. Step 2: Convert to fraction form
    12,827.20/17,701.48 = 7,238.20/x
  3. Step 3: Cross multiply
    12,827.20x = 17,701.48 × 7,238.20
  4. Step 4: Simplify right side
    12,827.20x = 128,126,852.54
  5. Step 5: Solve for x
    x = 128,126,852.54/12,827.20
  6. Step 6: Final answer
    x = 9,988.68

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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.