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Finding the Fourth Proportional to 14,200.94, 19,595.88 and 8,234.61

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Solution

The fourth proportional to 14,200.94, 19,595.88 and 8,234.61 is: 11,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.94 : 19,595.88 = 8,234.61 : x
  2. Step 2: Convert to fraction form
    14,200.94/19,595.88 = 8,234.61/x
  3. Step 3: Cross multiply
    14,200.94x = 19,595.88 × 8,234.61
  4. Step 4: Simplify right side
    14,200.94x = 161,364,429.41
  5. Step 5: Solve for x
    x = 161,364,429.41/14,200.94
  6. Step 6: Final answer
    x = 11,362.94

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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.