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Finding the Fourth Proportional to 14,472.96, 19,964.16 and 8,880

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Solution

The fourth proportional to 14,472.96, 19,964.16 and 8,880 is: 12,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.96 : 19,964.16 = 8,880 : x
  2. Step 2: Convert to fraction form
    14,472.96/19,964.16 = 8,880/x
  3. Step 3: Cross multiply
    14,472.96x = 19,964.16 × 8,880
  4. Step 4: Simplify right side
    14,472.96x = 177,281,740.80
  5. Step 5: Solve for x
    x = 177,281,740.80/14,472.96
  6. Step 6: Final answer
    x = 12,249.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.