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Finding the Fourth Proportional to 16,704, 23,051.52 and 10,080

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Solution

The fourth proportional to 16,704, 23,051.52 and 10,080 is: 13,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704 : 23,051.52 = 10,080 : x
  2. Step 2: Convert to fraction form
    16,704/23,051.52 = 10,080/x
  3. Step 3: Cross multiply
    16,704x = 23,051.52 × 10,080
  4. Step 4: Simplify right side
    16,704x = 232,359,321.60
  5. Step 5: Solve for x
    x = 232,359,321.60/16,704
  6. Step 6: Final answer
    x = 13,910.40

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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.