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Finding the Fourth Proportional to 22,548.96, 31,104 and 16,596

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Solution

The fourth proportional to 22,548.96, 31,104 and 16,596 is: 22,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.96 : 31,104 = 16,596 : x
  2. Step 2: Convert to fraction form
    22,548.96/31,104 = 16,596/x
  3. Step 3: Cross multiply
    22,548.96x = 31,104 × 16,596
  4. Step 4: Simplify right side
    22,548.96x = 516,201,984
  5. Step 5: Solve for x
    x = 516,201,984/22,548.96
  6. Step 6: Final answer
    x = 22,892.50

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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.