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Finding the Fourth Proportional to 16,655.22, 24,982.83 and 9,724.98

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Solution

The fourth proportional to 16,655.22, 24,982.83 and 9,724.98 is: 14,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.22 : 24,982.83 = 9,724.98 : x
  2. Step 2: Convert to fraction form
    16,655.22/24,982.83 = 9,724.98/x
  3. Step 3: Cross multiply
    16,655.22x = 24,982.83 × 9,724.98
  4. Step 4: Simplify right side
    16,655.22x = 242,957,522.09
  5. Step 5: Solve for x
    x = 242,957,522.09/16,655.22
  6. Step 6: Final answer
    x = 14,587.47

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1.5x scale

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.