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Finding the Fourth Proportional to 14,699.20, 22,048.80 and 8,138.20

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Solution

The fourth proportional to 14,699.20, 22,048.80 and 8,138.20 is: 12,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.20 : 22,048.80 = 8,138.20 : x
  2. Step 2: Convert to fraction form
    14,699.20/22,048.80 = 8,138.20/x
  3. Step 3: Cross multiply
    14,699.20x = 22,048.80 × 8,138.20
  4. Step 4: Simplify right side
    14,699.20x = 179,437,544.16
  5. Step 5: Solve for x
    x = 179,437,544.16/14,699.20
  6. Step 6: Final answer
    x = 12,207.30

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1.5x scale

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.