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Finding the Fourth Proportional to 11,478.47, 17,201.54 and 9,128.03

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Solution

The fourth proportional to 11,478.47, 17,201.54 and 9,128.03 is: 13,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.47 : 17,201.54 = 9,128.03 : x
  2. Step 2: Convert to fraction form
    11,478.47/17,201.54 = 9,128.03/x
  3. Step 3: Cross multiply
    11,478.47x = 17,201.54 × 9,128.03
  4. Step 4: Simplify right side
    11,478.47x = 157,016,041.52
  5. Step 5: Solve for x
    x = 157,016,041.52/11,478.47
  6. Step 6: Final answer
    x = 13,679.18

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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.