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Finding the Fourth Proportional to 30,384.80, 45,576.84 and 9,608.24

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Solution

The fourth proportional to 30,384.80, 45,576.84 and 9,608.24 is: 14,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.80 : 45,576.84 = 9,608.24 : x
  2. Step 2: Convert to fraction form
    30,384.80/45,576.84 = 9,608.24/x
  3. Step 3: Cross multiply
    30,384.80x = 45,576.84 × 9,608.24
  4. Step 4: Simplify right side
    30,384.80x = 437,913,217.16
  5. Step 5: Solve for x
    x = 437,913,217.16/30,384.80
  6. Step 6: Final answer
    x = 14,412.25

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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.