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Finding the Fourth Proportional to 14,697, 20,281.86 and 8,073

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Solution

The fourth proportional to 14,697, 20,281.86 and 8,073 is: 11,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697 : 20,281.86 = 8,073 : x
  2. Step 2: Convert to fraction form
    14,697/20,281.86 = 8,073/x
  3. Step 3: Cross multiply
    14,697x = 20,281.86 × 8,073
  4. Step 4: Simplify right side
    14,697x = 163,735,455.78
  5. Step 5: Solve for x
    x = 163,735,455.78/14,697
  6. Step 6: Final answer
    x = 11,140.74

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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.