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Finding the Fourth Proportional to 20,735, 28,633.74 and 14,464.76

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Solution

The fourth proportional to 20,735, 28,633.74 and 14,464.76 is: 19,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735 : 28,633.74 = 14,464.76 : x
  2. Step 2: Convert to fraction form
    20,735/28,633.74 = 14,464.76/x
  3. Step 3: Cross multiply
    20,735x = 28,633.74 × 14,464.76
  4. Step 4: Simplify right side
    20,735x = 414,180,177.00
  5. Step 5: Solve for x
    x = 414,180,177.00/20,735
  6. Step 6: Final answer
    x = 19,974.93

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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.