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Finding the Fourth Proportional to 16,851, 23,255.69 and 9,298.83

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Solution

The fourth proportional to 16,851, 23,255.69 and 9,298.83 is: 12,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851 : 23,255.69 = 9,298.83 : x
  2. Step 2: Convert to fraction form
    16,851/23,255.69 = 9,298.83/x
  3. Step 3: Cross multiply
    16,851x = 23,255.69 × 9,298.83
  4. Step 4: Simplify right side
    16,851x = 216,250,707.84
  5. Step 5: Solve for x
    x = 216,250,707.84/16,851
  6. Step 6: Final answer
    x = 12,833.11

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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.