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Finding the Fourth Proportional to 16,852.64, 23,256.88 and 9,299.30

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Solution

The fourth proportional to 16,852.64, 23,256.88 and 9,299.30 is: 12,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.64 : 23,256.88 = 9,299.30 : x
  2. Step 2: Convert to fraction form
    16,852.64/23,256.88 = 9,299.30/x
  3. Step 3: Cross multiply
    16,852.64x = 23,256.88 × 9,299.30
  4. Step 4: Simplify right side
    16,852.64x = 216,272,704.18
  5. Step 5: Solve for x
    x = 216,272,704.18/16,852.64
  6. Step 6: Final answer
    x = 12,833.16

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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.