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Finding the Fourth Proportional to 14,693, 20,276.34 and 8,069

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Solution

The fourth proportional to 14,693, 20,276.34 and 8,069 is: 11,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693 : 20,276.34 = 8,069 : x
  2. Step 2: Convert to fraction form
    14,693/20,276.34 = 8,069/x
  3. Step 3: Cross multiply
    14,693x = 20,276.34 × 8,069
  4. Step 4: Simplify right side
    14,693x = 163,609,787.46
  5. Step 5: Solve for x
    x = 163,609,787.46/14,693
  6. Step 6: Final answer
    x = 11,135.22

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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.