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Finding the Fourth Proportional to 16,957.65, 23,403.13 and 9,404.30

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Solution

The fourth proportional to 16,957.65, 23,403.13 and 9,404.30 is: 12,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,957.65 : 23,403.13 = 9,404.30 : x
  2. Step 2: Convert to fraction form
    16,957.65/23,403.13 = 9,404.30/x
  3. Step 3: Cross multiply
    16,957.65x = 23,403.13 × 9,404.30
  4. Step 4: Simplify right side
    16,957.65x = 220,090,090.46
  5. Step 5: Solve for x
    x = 220,090,090.46/16,957.65
  6. Step 6: Final answer
    x = 12,978.81

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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.