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Finding the Fourth Proportional to 16,851.64, 23,255.50 and 9,298.30

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Solution

The fourth proportional to 16,851.64, 23,255.50 and 9,298.30 is: 12,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851.64 : 23,255.50 = 9,298.30 : x
  2. Step 2: Convert to fraction form
    16,851.64/23,255.50 = 9,298.30/x
  3. Step 3: Cross multiply
    16,851.64x = 23,255.50 × 9,298.30
  4. Step 4: Simplify right side
    16,851.64x = 216,236,615.65
  5. Step 5: Solve for x
    x = 216,236,615.65/16,851.64
  6. Step 6: Final answer
    x = 12,831.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.