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Finding the Fourth Proportional to 16,732.54, 23,090.07 and 9,658.54

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Solution

The fourth proportional to 16,732.54, 23,090.07 and 9,658.54 is: 13,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.54 : 23,090.07 = 9,658.54 : x
  2. Step 2: Convert to fraction form
    16,732.54/23,090.07 = 9,658.54/x
  3. Step 3: Cross multiply
    16,732.54x = 23,090.07 × 9,658.54
  4. Step 4: Simplify right side
    16,732.54x = 223,016,364.70
  5. Step 5: Solve for x
    x = 223,016,364.70/16,732.54
  6. Step 6: Final answer
    x = 13,328.30

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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.