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Finding the Fourth Proportional to 14,653.73, 20,223.25 and 8,281.06

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Solution

The fourth proportional to 14,653.73, 20,223.25 and 8,281.06 is: 11,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.73 : 20,223.25 = 8,281.06 : x
  2. Step 2: Convert to fraction form
    14,653.73/20,223.25 = 8,281.06/x
  3. Step 3: Cross multiply
    14,653.73x = 20,223.25 × 8,281.06
  4. Step 4: Simplify right side
    14,653.73x = 167,469,875.38
  5. Step 5: Solve for x
    x = 167,469,875.38/14,653.73
  6. Step 6: Final answer
    x = 11,428.48

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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.