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Finding the Fourth Proportional to 14,920.20, 22,322.70 and 9,736.20

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Solution

The fourth proportional to 14,920.20, 22,322.70 and 9,736.20 is: 14,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.20 : 22,322.70 = 9,736.20 : x
  2. Step 2: Convert to fraction form
    14,920.20/22,322.70 = 9,736.20/x
  3. Step 3: Cross multiply
    14,920.20x = 22,322.70 × 9,736.20
  4. Step 4: Simplify right side
    14,920.20x = 217,338,271.74
  5. Step 5: Solve for x
    x = 217,338,271.74/14,920.20
  6. Step 6: Final answer
    x = 14,566.71

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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.