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Finding the Fourth Proportional to 14,764.88, 20,377.88 and 9,102.96

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Solution

The fourth proportional to 14,764.88, 20,377.88 and 9,102.96 is: 12,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764.88 : 20,377.88 = 9,102.96 : x
  2. Step 2: Convert to fraction form
    14,764.88/20,377.88 = 9,102.96/x
  3. Step 3: Cross multiply
    14,764.88x = 20,377.88 × 9,102.96
  4. Step 4: Simplify right side
    14,764.88x = 185,499,026.52
  5. Step 5: Solve for x
    x = 185,499,026.52/14,764.88
  6. Step 6: Final answer
    x = 12,563.53

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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.