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Finding the Fourth Proportional to 16,704, 25,061.76 and 6,846.48

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Solution

The fourth proportional to 16,704, 25,061.76 and 6,846.48 is: 10,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704 : 25,061.76 = 6,846.48 : x
  2. Step 2: Convert to fraction form
    16,704/25,061.76 = 6,846.48/x
  3. Step 3: Cross multiply
    16,704x = 25,061.76 × 6,846.48
  4. Step 4: Simplify right side
    16,704x = 171,584,838.60
  5. Step 5: Solve for x
    x = 171,584,838.60/16,704
  6. Step 6: Final answer
    x = 10,272.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.