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Finding the Fourth Proportional to 16,857.53, 23,263.38 and 9,303.86

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Solution

The fourth proportional to 16,857.53, 23,263.38 and 9,303.86 is: 12,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.53 : 23,263.38 = 9,303.86 : x
  2. Step 2: Convert to fraction form
    16,857.53/23,263.38 = 9,303.86/x
  3. Step 3: Cross multiply
    16,857.53x = 23,263.38 × 9,303.86
  4. Step 4: Simplify right side
    16,857.53x = 216,439,114.33
  5. Step 5: Solve for x
    x = 216,439,114.33/16,857.53
  6. Step 6: Final answer
    x = 12,839.32

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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.