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Finding the Fourth Proportional to 16,459.80, 24,697.80 and 12,509.70

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Solution

The fourth proportional to 16,459.80, 24,697.80 and 12,509.70 is: 18,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.80 : 24,697.80 = 12,509.70 : x
  2. Step 2: Convert to fraction form
    16,459.80/24,697.80 = 12,509.70/x
  3. Step 3: Cross multiply
    16,459.80x = 24,697.80 × 12,509.70
  4. Step 4: Simplify right side
    16,459.80x = 308,962,068.66
  5. Step 5: Solve for x
    x = 308,962,068.66/16,459.80
  6. Step 6: Final answer
    x = 18,770.71

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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.