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Finding the Fourth Proportional to 14,296.80, 19,730.16 and 8,008.80

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Solution

The fourth proportional to 14,296.80, 19,730.16 and 8,008.80 is: 11,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.80 : 19,730.16 = 8,008.80 : x
  2. Step 2: Convert to fraction form
    14,296.80/19,730.16 = 8,008.80/x
  3. Step 3: Cross multiply
    14,296.80x = 19,730.16 × 8,008.80
  4. Step 4: Simplify right side
    14,296.80x = 158,014,905.41
  5. Step 5: Solve for x
    x = 158,014,905.41/14,296.80
  6. Step 6: Final answer
    x = 11,052.47

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1.5x scale

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.