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Finding the Fourth Proportional to 14,690, 22,035 and 13,951.76

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Solution

The fourth proportional to 14,690, 22,035 and 13,951.76 is: 20,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690 : 22,035 = 13,951.76 : x
  2. Step 2: Convert to fraction form
    14,690/22,035 = 13,951.76/x
  3. Step 3: Cross multiply
    14,690x = 22,035 × 13,951.76
  4. Step 4: Simplify right side
    14,690x = 307,427,031.60
  5. Step 5: Solve for x
    x = 307,427,031.60/14,690
  6. Step 6: Final answer
    x = 20,927.64

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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.