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Finding the Fourth Proportional to 12,740, 17,573.58 and 8,016.08

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Solution

The fourth proportional to 12,740, 17,573.58 and 8,016.08 is: 11,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740 : 17,573.58 = 8,016.08 : x
  2. Step 2: Convert to fraction form
    12,740/17,573.58 = 8,016.08/x
  3. Step 3: Cross multiply
    12,740x = 17,573.58 × 8,016.08
  4. Step 4: Simplify right side
    12,740x = 140,871,223.17
  5. Step 5: Solve for x
    x = 140,871,223.17/12,740
  6. Step 6: Final answer
    x = 11,057.40

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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.