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Finding the Fourth Proportional to 16,213, 24,326.82 and 9,287.50

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Solution

The fourth proportional to 16,213, 24,326.82 and 9,287.50 is: 13,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213 : 24,326.82 = 9,287.50 : x
  2. Step 2: Convert to fraction form
    16,213/24,326.82 = 9,287.50/x
  3. Step 3: Cross multiply
    16,213x = 24,326.82 × 9,287.50
  4. Step 4: Simplify right side
    16,213x = 225,935,340.75
  5. Step 5: Solve for x
    x = 225,935,340.75/16,213
  6. Step 6: Final answer
    x = 13,935.44

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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.