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Finding the Fourth Proportional to 10,704.64, 14,676.20 and 10,507.36

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Solution

The fourth proportional to 10,704.64, 14,676.20 and 10,507.36 is: 14,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.64 : 14,676.20 = 10,507.36 : x
  2. Step 2: Convert to fraction form
    10,704.64/14,676.20 = 10,507.36/x
  3. Step 3: Cross multiply
    10,704.64x = 14,676.20 × 10,507.36
  4. Step 4: Simplify right side
    10,704.64x = 154,208,116.83
  5. Step 5: Solve for x
    x = 154,208,116.83/10,704.64
  6. Step 6: Final answer
    x = 14,405.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.