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Finding the Fourth Proportional to 14,970.93, 20,668.32 and 9,942.03

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Solution

The fourth proportional to 14,970.93, 20,668.32 and 9,942.03 is: 13,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.93 : 20,668.32 = 9,942.03 : x
  2. Step 2: Convert to fraction form
    14,970.93/20,668.32 = 9,942.03/x
  3. Step 3: Cross multiply
    14,970.93x = 20,668.32 × 9,942.03
  4. Step 4: Simplify right side
    14,970.93x = 205,485,057.49
  5. Step 5: Solve for x
    x = 205,485,057.49/14,970.93
  6. Step 6: Final answer
    x = 13,725.60

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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.