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Finding the Fourth Proportional to 13,725.84, 20,596.55 and 6,330.31

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Solution

The fourth proportional to 13,725.84, 20,596.55 and 6,330.31 is: 9,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.84 : 20,596.55 = 6,330.31 : x
  2. Step 2: Convert to fraction form
    13,725.84/20,596.55 = 6,330.31/x
  3. Step 3: Cross multiply
    13,725.84x = 20,596.55 × 6,330.31
  4. Step 4: Simplify right side
    13,725.84x = 130,382,510.76
  5. Step 5: Solve for x
    x = 130,382,510.76/13,725.84
  6. Step 6: Final answer
    x = 9,499.05

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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.