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Finding the Fourth Proportional to 12,705.82, 19,057.36 and 4,384.89

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Solution

The fourth proportional to 12,705.82, 19,057.36 and 4,384.89 is: 6,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.82 : 19,057.36 = 4,384.89 : x
  2. Step 2: Convert to fraction form
    12,705.82/19,057.36 = 4,384.89/x
  3. Step 3: Cross multiply
    12,705.82x = 19,057.36 × 4,384.89
  4. Step 4: Simplify right side
    12,705.82x = 83,564,427.29
  5. Step 5: Solve for x
    x = 83,564,427.29/12,705.82
  6. Step 6: Final answer
    x = 6,576.86

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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.