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Finding the Fourth Proportional to 13,026.68, 19,540.02 and 9,148.40

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Solution

The fourth proportional to 13,026.68, 19,540.02 and 9,148.40 is: 13,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.68 : 19,540.02 = 9,148.40 : x
  2. Step 2: Convert to fraction form
    13,026.68/19,540.02 = 9,148.40/x
  3. Step 3: Cross multiply
    13,026.68x = 19,540.02 × 9,148.40
  4. Step 4: Simplify right side
    13,026.68x = 178,759,918.97
  5. Step 5: Solve for x
    x = 178,759,918.97/13,026.68
  6. Step 6: Final answer
    x = 13,722.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.