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Finding the Fourth Proportional to 19,384.69, 29,077.15 and 6,905.20

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Solution

The fourth proportional to 19,384.69, 29,077.15 and 6,905.20 is: 10,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384.69 : 29,077.15 = 6,905.20 : x
  2. Step 2: Convert to fraction form
    19,384.69/29,077.15 = 6,905.20/x
  3. Step 3: Cross multiply
    19,384.69x = 29,077.15 × 6,905.20
  4. Step 4: Simplify right side
    19,384.69x = 200,783,533.11
  5. Step 5: Solve for x
    x = 200,783,533.11/19,384.69
  6. Step 6: Final answer
    x = 10,357.84

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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.