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Finding the Fourth Proportional to 13,525.14, 18,642.39 and 9,047.28

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Solution

The fourth proportional to 13,525.14, 18,642.39 and 9,047.28 is: 12,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.14 : 18,642.39 = 9,047.28 : x
  2. Step 2: Convert to fraction form
    13,525.14/18,642.39 = 9,047.28/x
  3. Step 3: Cross multiply
    13,525.14x = 18,642.39 × 9,047.28
  4. Step 4: Simplify right side
    13,525.14x = 168,662,922.20
  5. Step 5: Solve for x
    x = 168,662,922.20/13,525.14
  6. Step 6: Final answer
    x = 12,470.33

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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.