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Finding the Fourth Proportional to 16,777.16, 23,153.02 and 9,223.80

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Solution

The fourth proportional to 16,777.16, 23,153.02 and 9,223.80 is: 12,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,777.16 : 23,153.02 = 9,223.80 : x
  2. Step 2: Convert to fraction form
    16,777.16/23,153.02 = 9,223.80/x
  3. Step 3: Cross multiply
    16,777.16x = 23,153.02 × 9,223.80
  4. Step 4: Simplify right side
    16,777.16x = 213,558,825.88
  5. Step 5: Solve for x
    x = 213,558,825.88/16,777.16
  6. Step 6: Final answer
    x = 12,729.14

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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.