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Finding the Fourth Proportional to 12,980.07, 17,913.58 and 7,531.03

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Solution

The fourth proportional to 12,980.07, 17,913.58 and 7,531.03 is: 10,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.07 : 17,913.58 = 7,531.03 : x
  2. Step 2: Convert to fraction form
    12,980.07/17,913.58 = 7,531.03/x
  3. Step 3: Cross multiply
    12,980.07x = 17,913.58 × 7,531.03
  4. Step 4: Simplify right side
    12,980.07x = 134,907,632.37
  5. Step 5: Solve for x
    x = 134,907,632.37/12,980.07
  6. Step 6: Final answer
    x = 10,393.44

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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.