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Finding the Fourth Proportional to 13,872.16, 20,807.58 and 6,474.04

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Solution

The fourth proportional to 13,872.16, 20,807.58 and 6,474.04 is: 9,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.16 : 20,807.58 = 6,474.04 : x
  2. Step 2: Convert to fraction form
    13,872.16/20,807.58 = 6,474.04/x
  3. Step 3: Cross multiply
    13,872.16x = 20,807.58 × 6,474.04
  4. Step 4: Simplify right side
    13,872.16x = 134,709,105.22
  5. Step 5: Solve for x
    x = 134,709,105.22/13,872.16
  6. Step 6: Final answer
    x = 9,710.75

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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.