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Finding the Fourth Proportional to 14,234.76, 19,640.24 and 9,759.88

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Solution

The fourth proportional to 14,234.76, 19,640.24 and 9,759.88 is: 13,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.76 : 19,640.24 = 9,759.88 : x
  2. Step 2: Convert to fraction form
    14,234.76/19,640.24 = 9,759.88/x
  3. Step 3: Cross multiply
    14,234.76x = 19,640.24 × 9,759.88
  4. Step 4: Simplify right side
    14,234.76x = 191,686,385.57
  5. Step 5: Solve for x
    x = 191,686,385.57/14,234.76
  6. Step 6: Final answer
    x = 13,466.08

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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.