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Finding the Fourth Proportional to 16,991.52, 23,448.64 and 9,539.52

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Solution

The fourth proportional to 16,991.52, 23,448.64 and 9,539.52 is: 13,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991.52 : 23,448.64 = 9,539.52 : x
  2. Step 2: Convert to fraction form
    16,991.52/23,448.64 = 9,539.52/x
  3. Step 3: Cross multiply
    16,991.52x = 23,448.64 × 9,539.52
  4. Step 4: Simplify right side
    16,991.52x = 223,688,770.25
  5. Step 5: Solve for x
    x = 223,688,770.25/16,991.52
  6. Step 6: Final answer
    x = 13,164.73

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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.