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Finding the Fourth Proportional to 14,693, 22,039.62 and 5,459

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Solution

The fourth proportional to 14,693, 22,039.62 and 5,459 is: 8,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693 : 22,039.62 = 5,459 : x
  2. Step 2: Convert to fraction form
    14,693/22,039.62 = 5,459/x
  3. Step 3: Cross multiply
    14,693x = 22,039.62 × 5,459
  4. Step 4: Simplify right side
    14,693x = 120,314,285.58
  5. Step 5: Solve for x
    x = 120,314,285.58/14,693
  6. Step 6: Final answer
    x = 8,188.54

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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.