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Finding the Fourth Proportional to 14,758.92, 22,138.16 and 8,420.27

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Solution

The fourth proportional to 14,758.92, 22,138.16 and 8,420.27 is: 12,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,758.92 : 22,138.16 = 8,420.27 : x
  2. Step 2: Convert to fraction form
    14,758.92/22,138.16 = 8,420.27/x
  3. Step 3: Cross multiply
    14,758.92x = 22,138.16 × 8,420.27
  4. Step 4: Simplify right side
    14,758.92x = 186,409,284.50
  5. Step 5: Solve for x
    x = 186,409,284.50/14,758.92
  6. Step 6: Final answer
    x = 12,630.28

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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.