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Finding the Fourth Proportional to 12,705.40, 17,533.24 and 6,962.80

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Solution

The fourth proportional to 12,705.40, 17,533.24 and 6,962.80 is: 9,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.40 : 17,533.24 = 6,962.80 : x
  2. Step 2: Convert to fraction form
    12,705.40/17,533.24 = 6,962.80/x
  3. Step 3: Cross multiply
    12,705.40x = 17,533.24 × 6,962.80
  4. Step 4: Simplify right side
    12,705.40x = 122,080,443.47
  5. Step 5: Solve for x
    x = 122,080,443.47/12,705.40
  6. Step 6: Final answer
    x = 9,608.55

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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.