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Finding the Fourth Proportional to 16,826.94, 25,218.54 and 16,564.50

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Solution

The fourth proportional to 16,826.94, 25,218.54 and 16,564.50 is: 24,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826.94 : 25,218.54 = 16,564.50 : x
  2. Step 2: Convert to fraction form
    16,826.94/25,218.54 = 16,564.50/x
  3. Step 3: Cross multiply
    16,826.94x = 25,218.54 × 16,564.50
  4. Step 4: Simplify right side
    16,826.94x = 417,732,505.83
  5. Step 5: Solve for x
    x = 417,732,505.83/16,826.94
  6. Step 6: Final answer
    x = 24,825.22

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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.