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Finding the Fourth Proportional to 16,572.85, 24,846.86 and 9,997.50

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Solution

The fourth proportional to 16,572.85, 24,846.86 and 9,997.50 is: 14,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,572.85 : 24,846.86 = 9,997.50 : x
  2. Step 2: Convert to fraction form
    16,572.85/24,846.86 = 9,997.50/x
  3. Step 3: Cross multiply
    16,572.85x = 24,846.86 × 9,997.50
  4. Step 4: Simplify right side
    16,572.85x = 248,406,482.85
  5. Step 5: Solve for x
    x = 248,406,482.85/16,572.85
  6. Step 6: Final answer
    x = 14,988.76

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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.