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Finding the Fourth Proportional to 14,813.82, 22,225.05 and 8,653.50

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Solution

The fourth proportional to 14,813.82, 22,225.05 and 8,653.50 is: 12,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.82 : 22,225.05 = 8,653.50 : x
  2. Step 2: Convert to fraction form
    14,813.82/22,225.05 = 8,653.50/x
  3. Step 3: Cross multiply
    14,813.82x = 22,225.05 × 8,653.50
  4. Step 4: Simplify right side
    14,813.82x = 192,324,470.18
  5. Step 5: Solve for x
    x = 192,324,470.18/14,813.82
  6. Step 6: Final answer
    x = 12,982.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.