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Finding the Fourth Proportional to 14,509.53, 21,772.50 and 6,188.75

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Solution

The fourth proportional to 14,509.53, 21,772.50 and 6,188.75 is: 9,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.53 : 21,772.50 = 6,188.75 : x
  2. Step 2: Convert to fraction form
    14,509.53/21,772.50 = 6,188.75/x
  3. Step 3: Cross multiply
    14,509.53x = 21,772.50 × 6,188.75
  4. Step 4: Simplify right side
    14,509.53x = 134,744,631.42
  5. Step 5: Solve for x
    x = 134,744,631.42/14,509.53
  6. Step 6: Final answer
    x = 9,286.63

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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.