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Finding the Fourth Proportional to 14,952.54, 20,629.32 and 9,204.08

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Solution

The fourth proportional to 14,952.54, 20,629.32 and 9,204.08 is: 12,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.54 : 20,629.32 = 9,204.08 : x
  2. Step 2: Convert to fraction form
    14,952.54/20,629.32 = 9,204.08/x
  3. Step 3: Cross multiply
    14,952.54x = 20,629.32 × 9,204.08
  4. Step 4: Simplify right side
    14,952.54x = 189,873,911.63
  5. Step 5: Solve for x
    x = 189,873,911.63/14,952.54
  6. Step 6: Final answer
    x = 12,698.44

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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.