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Finding the Fourth Proportional to 30,212.36, 45,333.40 and 13,584.14

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Solution

The fourth proportional to 30,212.36, 45,333.40 and 13,584.14 is: 20,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.36 : 45,333.40 = 13,584.14 : x
  2. Step 2: Convert to fraction form
    30,212.36/45,333.40 = 13,584.14/x
  3. Step 3: Cross multiply
    30,212.36x = 45,333.40 × 13,584.14
  4. Step 4: Simplify right side
    30,212.36x = 615,815,252.28
  5. Step 5: Solve for x
    x = 615,815,252.28/30,212.36
  6. Step 6: Final answer
    x = 20,382.89

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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.