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Finding the Fourth Proportional to 16,539.75, 22,824.86 and 9,087.75

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Solution

The fourth proportional to 16,539.75, 22,824.86 and 9,087.75 is: 12,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.75 : 22,824.86 = 9,087.75 : x
  2. Step 2: Convert to fraction form
    16,539.75/22,824.86 = 9,087.75/x
  3. Step 3: Cross multiply
    16,539.75x = 22,824.86 × 9,087.75
  4. Step 4: Simplify right side
    16,539.75x = 207,426,576.03
  5. Step 5: Solve for x
    x = 207,426,576.03/16,539.75
  6. Step 6: Final answer
    x = 12,541.10

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1.5x scale

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.