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Finding the Fourth Proportional to 12,582.36, 17,361.72 and 7,276.16

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Solution

The fourth proportional to 12,582.36, 17,361.72 and 7,276.16 is: 10,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.36 : 17,361.72 = 7,276.16 : x
  2. Step 2: Convert to fraction form
    12,582.36/17,361.72 = 7,276.16/x
  3. Step 3: Cross multiply
    12,582.36x = 17,361.72 × 7,276.16
  4. Step 4: Simplify right side
    12,582.36x = 126,326,696.00
  5. Step 5: Solve for x
    x = 126,326,696.00/12,582.36
  6. Step 6: Final answer
    x = 10,039.98

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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.