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Finding the Fourth Proportional to 13,562.92, 18,704.10 and 9,017.64

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Solution

The fourth proportional to 13,562.92, 18,704.10 and 9,017.64 is: 12,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.92 : 18,704.10 = 9,017.64 : x
  2. Step 2: Convert to fraction form
    13,562.92/18,704.10 = 9,017.64/x
  3. Step 3: Cross multiply
    13,562.92x = 18,704.10 × 9,017.64
  4. Step 4: Simplify right side
    13,562.92x = 168,666,840.32
  5. Step 5: Solve for x
    x = 168,666,840.32/13,562.92
  6. Step 6: Final answer
    x = 12,435.88

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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.