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Finding the Fourth Proportional to 14,651.76, 20,235.84 and 9,927.84

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Solution

The fourth proportional to 14,651.76, 20,235.84 and 9,927.84 is: 13,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.76 : 20,235.84 = 9,927.84 : x
  2. Step 2: Convert to fraction form
    14,651.76/20,235.84 = 9,927.84/x
  3. Step 3: Cross multiply
    14,651.76x = 20,235.84 × 9,927.84
  4. Step 4: Simplify right side
    14,651.76x = 200,898,181.79
  5. Step 5: Solve for x
    x = 200,898,181.79/14,651.76
  6. Step 6: Final answer
    x = 13,711.54

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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.