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Finding the Fourth Proportional to 13,007.31, 19,521.90 and 6,769.50

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Solution

The fourth proportional to 13,007.31, 19,521.90 and 6,769.50 is: 10,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.31 : 19,521.90 = 6,769.50 : x
  2. Step 2: Convert to fraction form
    13,007.31/19,521.90 = 6,769.50/x
  3. Step 3: Cross multiply
    13,007.31x = 19,521.90 × 6,769.50
  4. Step 4: Simplify right side
    13,007.31x = 132,153,502.05
  5. Step 5: Solve for x
    x = 132,153,502.05/13,007.31
  6. Step 6: Final answer
    x = 10,159.94

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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.