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Finding the Fourth Proportional to 16,961.58, 23,406.93 and 9,509.58

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Solution

The fourth proportional to 16,961.58, 23,406.93 and 9,509.58 is: 13,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.58 : 23,406.93 = 9,509.58 : x
  2. Step 2: Convert to fraction form
    16,961.58/23,406.93 = 9,509.58/x
  3. Step 3: Cross multiply
    16,961.58x = 23,406.93 × 9,509.58
  4. Step 4: Simplify right side
    16,961.58x = 222,590,073.39
  5. Step 5: Solve for x
    x = 222,590,073.39/16,961.58
  6. Step 6: Final answer
    x = 13,123.19

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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.