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Finding the Fourth Proportional to 30,384.80, 45,555.60 and 11,657.60

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Solution

The fourth proportional to 30,384.80, 45,555.60 and 11,657.60 is: 17,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.80 : 45,555.60 = 11,657.60 : x
  2. Step 2: Convert to fraction form
    30,384.80/45,555.60 = 11,657.60/x
  3. Step 3: Cross multiply
    30,384.80x = 45,555.60 × 11,657.60
  4. Step 4: Simplify right side
    30,384.80x = 531,068,962.56
  5. Step 5: Solve for x
    x = 531,068,962.56/30,384.80
  6. Step 6: Final answer
    x = 17,478.11

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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.