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Finding the Fourth Proportional to 13,434.65, 20,133.52 and 6,846.99

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Solution

The fourth proportional to 13,434.65, 20,133.52 and 6,846.99 is: 10,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.65 : 20,133.52 = 6,846.99 : x
  2. Step 2: Convert to fraction form
    13,434.65/20,133.52 = 6,846.99/x
  3. Step 3: Cross multiply
    13,434.65x = 20,133.52 × 6,846.99
  4. Step 4: Simplify right side
    13,434.65x = 137,854,010.10
  5. Step 5: Solve for x
    x = 137,854,010.10/13,434.65
  6. Step 6: Final answer
    x = 10,261.08

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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.