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Finding the Fourth Proportional to 16,704.48, 23,051.28 and 9,149.40

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Solution

The fourth proportional to 16,704.48, 23,051.28 and 9,149.40 is: 12,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704.48 : 23,051.28 = 9,149.40 : x
  2. Step 2: Convert to fraction form
    16,704.48/23,051.28 = 9,149.40/x
  3. Step 3: Cross multiply
    16,704.48x = 23,051.28 × 9,149.40
  4. Step 4: Simplify right side
    16,704.48x = 210,905,381.23
  5. Step 5: Solve for x
    x = 210,905,381.23/16,704.48
  6. Step 6: Final answer
    x = 12,625.68

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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.