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Finding the Fourth Proportional to 30,399.20, 45,594.24 and 9,620

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Solution

The fourth proportional to 30,399.20, 45,594.24 and 9,620 is: 14,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,399.20 : 45,594.24 = 9,620 : x
  2. Step 2: Convert to fraction form
    30,399.20/45,594.24 = 9,620/x
  3. Step 3: Cross multiply
    30,399.20x = 45,594.24 × 9,620
  4. Step 4: Simplify right side
    30,399.20x = 438,616,588.80
  5. Step 5: Solve for x
    x = 438,616,588.80/30,399.20
  6. Step 6: Final answer
    x = 14,428.56

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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.