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Finding the Fourth Proportional to 14,938.17, 20,613.54 and 8,564.70

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Solution

The fourth proportional to 14,938.17, 20,613.54 and 8,564.70 is: 11,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.17 : 20,613.54 = 8,564.70 : x
  2. Step 2: Convert to fraction form
    14,938.17/20,613.54 = 8,564.70/x
  3. Step 3: Cross multiply
    14,938.17x = 20,613.54 × 8,564.70
  4. Step 4: Simplify right side
    14,938.17x = 176,548,786.04
  5. Step 5: Solve for x
    x = 176,548,786.04/14,938.17
  6. Step 6: Final answer
    x = 11,818.64

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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.