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Finding the Fourth Proportional to 14,940.50, 22,381.58 and 11,638.13

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Solution

The fourth proportional to 14,940.50, 22,381.58 and 11,638.13 is: 17,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,940.50 : 22,381.58 = 11,638.13 : x
  2. Step 2: Convert to fraction form
    14,940.50/22,381.58 = 11,638.13/x
  3. Step 3: Cross multiply
    14,940.50x = 22,381.58 × 11,638.13
  4. Step 4: Simplify right side
    14,940.50x = 260,479,567.55
  5. Step 5: Solve for x
    x = 260,479,567.55/14,940.50
  6. Step 6: Final answer
    x = 17,434.47

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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.