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Finding the Fourth Proportional to 14,938.02, 20,613.90 and 8,223.28

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Solution

The fourth proportional to 14,938.02, 20,613.90 and 8,223.28 is: 11,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.02 : 20,613.90 = 8,223.28 : x
  2. Step 2: Convert to fraction form
    14,938.02/20,613.90 = 8,223.28/x
  3. Step 3: Cross multiply
    14,938.02x = 20,613.90 × 8,223.28
  4. Step 4: Simplify right side
    14,938.02x = 169,513,871.59
  5. Step 5: Solve for x
    x = 169,513,871.59/14,938.02
  6. Step 6: Final answer
    x = 11,347.81

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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.