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Finding the Fourth Proportional to 14,658.72, 21,989.25 and 5,304.30

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Solution

The fourth proportional to 14,658.72, 21,989.25 and 5,304.30 is: 7,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.72 : 21,989.25 = 5,304.30 : x
  2. Step 2: Convert to fraction form
    14,658.72/21,989.25 = 5,304.30/x
  3. Step 3: Cross multiply
    14,658.72x = 21,989.25 × 5,304.30
  4. Step 4: Simplify right side
    14,658.72x = 116,637,578.78
  5. Step 5: Solve for x
    x = 116,637,578.78/14,658.72
  6. Step 6: Final answer
    x = 7,956.87

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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.