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Finding the Fourth Proportional to 16,207, 24,317.82 and 9,281.50

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Solution

The fourth proportional to 16,207, 24,317.82 and 9,281.50 is: 13,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207 : 24,317.82 = 9,281.50 : x
  2. Step 2: Convert to fraction form
    16,207/24,317.82 = 9,281.50/x
  3. Step 3: Cross multiply
    16,207x = 24,317.82 × 9,281.50
  4. Step 4: Simplify right side
    16,207x = 225,705,846.33
  5. Step 5: Solve for x
    x = 225,705,846.33/16,207
  6. Step 6: Final answer
    x = 13,926.44

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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.