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Finding the Fourth Proportional to 17,647.47, 26,452.58 and 13,478.40

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Solution

The fourth proportional to 17,647.47, 26,452.58 and 13,478.40 is: 20,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.47 : 26,452.58 = 13,478.40 : x
  2. Step 2: Convert to fraction form
    17,647.47/26,452.58 = 13,478.40/x
  3. Step 3: Cross multiply
    17,647.47x = 26,452.58 × 13,478.40
  4. Step 4: Simplify right side
    17,647.47x = 356,538,386.88
  5. Step 5: Solve for x
    x = 356,538,386.88/17,647.47
  6. Step 6: Final answer
    x = 20,203.37

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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.