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Finding the Fourth Proportional to 14,973.67, 20,513.90 and 14,412.88

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Solution

The fourth proportional to 14,973.67, 20,513.90 and 14,412.88 is: 19,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.67 : 20,513.90 = 14,412.88 : x
  2. Step 2: Convert to fraction form
    14,973.67/20,513.90 = 14,412.88/x
  3. Step 3: Cross multiply
    14,973.67x = 20,513.90 × 14,412.88
  4. Step 4: Simplify right side
    14,973.67x = 295,664,379.03
  5. Step 5: Solve for x
    x = 295,664,379.03/14,973.67
  6. Step 6: Final answer
    x = 19,745.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.