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Finding the Fourth Proportional to 14,310.56, 19,751.04 and 8,021.76

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Solution

The fourth proportional to 14,310.56, 19,751.04 and 8,021.76 is: 11,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.56 : 19,751.04 = 8,021.76 : x
  2. Step 2: Convert to fraction form
    14,310.56/19,751.04 = 8,021.76/x
  3. Step 3: Cross multiply
    14,310.56x = 19,751.04 × 8,021.76
  4. Step 4: Simplify right side
    14,310.56x = 158,438,102.63
  5. Step 5: Solve for x
    x = 158,438,102.63/14,310.56
  6. Step 6: Final answer
    x = 11,071.41

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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.