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Finding the Fourth Proportional to 16,707.78, 23,043.66 and 10,740

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Solution

The fourth proportional to 16,707.78, 23,043.66 and 10,740 is: 14,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.78 : 23,043.66 = 10,740 : x
  2. Step 2: Convert to fraction form
    16,707.78/23,043.66 = 10,740/x
  3. Step 3: Cross multiply
    16,707.78x = 23,043.66 × 10,740
  4. Step 4: Simplify right side
    16,707.78x = 247,488,908.40
  5. Step 5: Solve for x
    x = 247,488,908.40/16,707.78
  6. Step 6: Final answer
    x = 14,812.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.