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Finding the Fourth Proportional to 14,938.49, 20,614.70 and 8,223.21

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Solution

The fourth proportional to 14,938.49, 20,614.70 and 8,223.21 is: 11,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.49 : 20,614.70 = 8,223.21 : x
  2. Step 2: Convert to fraction form
    14,938.49/20,614.70 = 8,223.21/x
  3. Step 3: Cross multiply
    14,938.49x = 20,614.70 × 8,223.21
  4. Step 4: Simplify right side
    14,938.49x = 169,518,966.07
  5. Step 5: Solve for x
    x = 169,518,966.07/14,938.49
  6. Step 6: Final answer
    x = 11,347.80

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Why These Related Problems?

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