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Finding the Fourth Proportional to 12,705.08, 17,532.78 and 7,039.64

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Solution

The fourth proportional to 12,705.08, 17,532.78 and 7,039.64 is: 9,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.08 : 17,532.78 = 7,039.64 : x
  2. Step 2: Convert to fraction form
    12,705.08/17,532.78 = 7,039.64/x
  3. Step 3: Cross multiply
    12,705.08x = 17,532.78 × 7,039.64
  4. Step 4: Simplify right side
    12,705.08x = 123,424,459.40
  5. Step 5: Solve for x
    x = 123,424,459.40/12,705.08
  6. Step 6: Final answer
    x = 9,714.58

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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.