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Finding the Fourth Proportional to 13,057.32, 19,583.82 and 4,292.31

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Solution

The fourth proportional to 13,057.32, 19,583.82 and 4,292.31 is: 6,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.32 : 19,583.82 = 4,292.31 : x
  2. Step 2: Convert to fraction form
    13,057.32/19,583.82 = 4,292.31/x
  3. Step 3: Cross multiply
    13,057.32x = 19,583.82 × 4,292.31
  4. Step 4: Simplify right side
    13,057.32x = 84,059,826.42
  5. Step 5: Solve for x
    x = 84,059,826.42/13,057.32
  6. Step 6: Final answer
    x = 6,437.75

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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.