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Finding the Fourth Proportional to 16,756.89, 23,124.78 and 9,100.17

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Solution

The fourth proportional to 16,756.89, 23,124.78 and 9,100.17 is: 12,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,756.89 : 23,124.78 = 9,100.17 : x
  2. Step 2: Convert to fraction form
    16,756.89/23,124.78 = 9,100.17/x
  3. Step 3: Cross multiply
    16,756.89x = 23,124.78 × 9,100.17
  4. Step 4: Simplify right side
    16,756.89x = 210,439,429.21
  5. Step 5: Solve for x
    x = 210,439,429.21/16,756.89
  6. Step 6: Final answer
    x = 12,558.38

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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.