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Finding the Fourth Proportional to 16,881.63, 25,323.53 and 6,493.38

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Solution

The fourth proportional to 16,881.63, 25,323.53 and 6,493.38 is: 9,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.63 : 25,323.53 = 6,493.38 : x
  2. Step 2: Convert to fraction form
    16,881.63/25,323.53 = 6,493.38/x
  3. Step 3: Cross multiply
    16,881.63x = 25,323.53 × 6,493.38
  4. Step 4: Simplify right side
    16,881.63x = 164,435,270.76
  5. Step 5: Solve for x
    x = 164,435,270.76/16,881.63
  6. Step 6: Final answer
    x = 9,740.49

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Why These Related Problems?

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