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Finding the Fourth Proportional to 16,554.84, 24,833.02 and 5,462.50

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Solution

The fourth proportional to 16,554.84, 24,833.02 and 5,462.50 is: 8,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,554.84 : 24,833.02 = 5,462.50 : x
  2. Step 2: Convert to fraction form
    16,554.84/24,833.02 = 5,462.50/x
  3. Step 3: Cross multiply
    16,554.84x = 24,833.02 × 5,462.50
  4. Step 4: Simplify right side
    16,554.84x = 135,650,371.75
  5. Step 5: Solve for x
    x = 135,650,371.75/16,554.84
  6. Step 6: Final answer
    x = 8,194.00

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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.