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Finding the Fourth Proportional to 15,614.64, 23,425.70 and 4,522.09

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Solution

The fourth proportional to 15,614.64, 23,425.70 and 4,522.09 is: 6,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.64 : 23,425.70 = 4,522.09 : x
  2. Step 2: Convert to fraction form
    15,614.64/23,425.70 = 4,522.09/x
  3. Step 3: Cross multiply
    15,614.64x = 23,425.70 × 4,522.09
  4. Step 4: Simplify right side
    15,614.64x = 105,933,135.02
  5. Step 5: Solve for x
    x = 105,933,135.02/15,614.64
  6. Step 6: Final answer
    x = 6,784.22

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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.