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Finding the Fourth Proportional to 30,219.86, 45,344.64 and 13,591.64

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Solution

The fourth proportional to 30,219.86, 45,344.64 and 13,591.64 is: 20,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.86 : 45,344.64 = 13,591.64 : x
  2. Step 2: Convert to fraction form
    30,219.86/45,344.64 = 13,591.64/x
  3. Step 3: Cross multiply
    30,219.86x = 45,344.64 × 13,591.64
  4. Step 4: Simplify right side
    30,219.86x = 616,308,022.81
  5. Step 5: Solve for x
    x = 616,308,022.81/30,219.86
  6. Step 6: Final answer
    x = 20,394.14

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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.