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Finding the Fourth Proportional to 16,959.96, 23,404.14 and 9,406.62

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Solution

The fourth proportional to 16,959.96, 23,404.14 and 9,406.62 is: 12,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,959.96 : 23,404.14 = 9,406.62 : x
  2. Step 2: Convert to fraction form
    16,959.96/23,404.14 = 9,406.62/x
  3. Step 3: Cross multiply
    16,959.96x = 23,404.14 × 9,406.62
  4. Step 4: Simplify right side
    16,959.96x = 220,153,851.41
  5. Step 5: Solve for x
    x = 220,153,851.41/16,959.96
  6. Step 6: Final answer
    x = 12,980.80

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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.