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Finding the Fourth Proportional to 14,695, 22,043.85 and 5,809.84

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Solution

The fourth proportional to 14,695, 22,043.85 and 5,809.84 is: 8,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,695 : 22,043.85 = 5,809.84 : x
  2. Step 2: Convert to fraction form
    14,695/22,043.85 = 5,809.84/x
  3. Step 3: Cross multiply
    14,695x = 22,043.85 × 5,809.84
  4. Step 4: Simplify right side
    14,695x = 128,071,241.48
  5. Step 5: Solve for x
    x = 128,071,241.48/14,695
  6. Step 6: Final answer
    x = 8,715.29

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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.