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Finding the Fourth Proportional to 14,551.79, 21,842.95 and 12,896.50

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Solution

The fourth proportional to 14,551.79, 21,842.95 and 12,896.50 is: 19,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.79 : 21,842.95 = 12,896.50 : x
  2. Step 2: Convert to fraction form
    14,551.79/21,842.95 = 12,896.50/x
  3. Step 3: Cross multiply
    14,551.79x = 21,842.95 × 12,896.50
  4. Step 4: Simplify right side
    14,551.79x = 281,697,604.68
  5. Step 5: Solve for x
    x = 281,697,604.68/14,551.79
  6. Step 6: Final answer
    x = 19,358.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.