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Finding the Fourth Proportional to 13,411.30, 20,098.14 and 11,426.50

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Solution

The fourth proportional to 13,411.30, 20,098.14 and 11,426.50 is: 17,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.30 : 20,098.14 = 11,426.50 : x
  2. Step 2: Convert to fraction form
    13,411.30/20,098.14 = 11,426.50/x
  3. Step 3: Cross multiply
    13,411.30x = 20,098.14 × 11,426.50
  4. Step 4: Simplify right side
    13,411.30x = 229,651,396.71
  5. Step 5: Solve for x
    x = 229,651,396.71/13,411.30
  6. Step 6: Final answer
    x = 17,123.72

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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.