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Finding the Fourth Proportional to 30,007.68, 45,016.80 and 11,538.24

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Solution

The fourth proportional to 30,007.68, 45,016.80 and 11,538.24 is: 17,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.68 : 45,016.80 = 11,538.24 : x
  2. Step 2: Convert to fraction form
    30,007.68/45,016.80 = 11,538.24/x
  3. Step 3: Cross multiply
    30,007.68x = 45,016.80 × 11,538.24
  4. Step 4: Simplify right side
    30,007.68x = 519,414,642.43
  5. Step 5: Solve for x
    x = 519,414,642.43/30,007.68
  6. Step 6: Final answer
    x = 17,309.39

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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.