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Finding the Fourth Proportional to 12,829.64, 17,712.87 and 9,839.72

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Solution

The fourth proportional to 12,829.64, 17,712.87 and 9,839.72 is: 13,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.64 : 17,712.87 = 9,839.72 : x
  2. Step 2: Convert to fraction form
    12,829.64/17,712.87 = 9,839.72/x
  3. Step 3: Cross multiply
    12,829.64x = 17,712.87 × 9,839.72
  4. Step 4: Simplify right side
    12,829.64x = 174,289,681.20
  5. Step 5: Solve for x
    x = 174,289,681.20/12,829.64
  6. Step 6: Final answer
    x = 13,584.92

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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.