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Finding the Fourth Proportional to 14,902.72, 22,367.04 and 9,715.84

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Solution

The fourth proportional to 14,902.72, 22,367.04 and 9,715.84 is: 14,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.72 : 22,367.04 = 9,715.84 : x
  2. Step 2: Convert to fraction form
    14,902.72/22,367.04 = 9,715.84/x
  3. Step 3: Cross multiply
    14,902.72x = 22,367.04 × 9,715.84
  4. Step 4: Simplify right side
    14,902.72x = 217,314,581.91
  5. Step 5: Solve for x
    x = 217,314,581.91/14,902.72
  6. Step 6: Final answer
    x = 14,582.21

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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.